when we simplify (ab + 3c)^2 we get

Answers

Answer 1

Answer:

a^2b^2+6abx+9c^2

Step-by-step explanation:

(a + b)2 = a2 + 2ab + b2

(ab+3c)^2=(ab)^2+2ab*3c+(3c)^2

Answer 2

Hey there!

(ab + 3c)^2

= (ab + 3c)(ab + 3c)

DISTRIBUTE

= ab(ab) + ab(3c) + 3c(ab) + 3c(3c)

= a^2 b^2 + 3abc + 3abc + 9c^2

COMBINE the LIKE TERMS

= a^2 b^2 + 6abc + 9c^2

Therefore, your answer is:

a^2 b^2 + 6abc + 9c^2

Good luck on your assignment and enjoy your day!

~Amphitrite1040:)


Related Questions

Classify the percentages based on their value.
50% of 40
20% of 150
25% of 80
12% of 250
60% of 50
10% of 200

Answers

a=20

b=30

c=20

d=75

e=30

f=2

Pleaseeeeee I need help!

THANK YOU

Answers

[tex] \: \: \: \: \: \: \: [/tex]

[tex] \frac{3}{10} \\ \\ or \: in \: alternate \: \: form \\ \\ 0.3[/tex]

refer to the attachment for explanation

hope it helps
You need to multiply across so numerator times numerator and denominator times denominator!

Here’s another one for you people

Answers

Brianna’s Roofing Service can build 50 homes and still have 200 boxes of shingles left.

A rectangle has an area of 35x + 42 square units. If the
width of the rectangle is 7 units, what is the length of the
rectangle?

Answers

Answer:

length = 5x + 6

Step-by-step explanation:

35x + 42 = 7*L    since area of a rectangle is length * width

(35x + 42) divide by 7  =  7L divide by 7

5x +6 = y

please help.
with the steps

Answers

Answer:

  -4/243

Step-by-step explanation:

Your calculator can do this.

You know that 3³ = 27 and (-3)³ = -27. You also know that 3² = 9, and that anything to the zero power is 1. With these facts, you can simplify the expression to ...

  [tex]\dfrac{\sqrt[3]{-27}-27^0}{3^3\times3^2}=\dfrac{-3-1}{27\times9}=\boxed{-\dfrac{4}{243}}[/tex]

Please solve on same Kind of coordinate plane. Thank you!

Answers

Answer:

(0,8)

Step-by-step explanation:

1cm
1
6 cm
Diagram NOT
accurately drawn
Scm
11 cm
9 cm
| 6cm
18 cm
The diagram shows a shape.
All of its corners are right angles.
Work out the area of the shape.

Answers

Answer:

110cm²

Step-by-step explanation:

*Diagram is ALSO not accurately drawn

18cm-6cm-5cm=7cm

11cm-9cm=2cm

Area:

11cm×6cm=66cm²

7cm×2cm=14cm²

6cm×5cm=30cm²

Area of the shape:

66cm²+14cm²+30cm²=110cm²

!!!NEED ANSWERS ASAP!!!! simplify 15 ÷ 3 +2 x 10

Answers

Answer:

70

Step-by-step explanation:

because 15 divided by 3 is 5+2=7 and 7 x 10=70

A pump fills a pool at a constant rate. At the end of 4 minutes it has filled 36 gallons
of water. Which table represents the relationship between the number of minutes and
the number of gallons of water in the pool?
А
B
Time
Water
(minutes) (gallons)
Time Water
(minutes) (gallons)
4.
1
1
4
8
2
2
8
12
3
3
12
с
D
Time
Water
(minutes) (gallons)
Time Water
(minutes) (gallons)
1
9
9
1
2
18
18
2
3
27
27
3

Answers

Answer:

C

Step-by-step explanation:

36 gallons ÷ 4 minutes = 9 per minute

what is the least number of plums that can be shared equally among 6, 9, or 12 children

Answers

3 is the greatest factor among the 3 numbers

What can you multiply by to find:

50% of a number?
10% of a number?
75% of a number?

Answers

Answer:

number · 0.50 = 50% of a number

number · 0.10 = 10% of a number

number · 0.75 = 75% of a number

Step-by-step explanation:

50% = 0.50

10% = 0.10

75% = 0.75

Which expression has the greatest value when c = 7? 12 - 2C 0R C - 5
please show working

Answers

If c = 7, then

12 - 2c

= 12 - 2(7)

= 12 - 14

= -2

c - 5

= (7) - 5

= 2

=》+2 > -2.

So, c - 5 has greater value than 12 - 2c, if c = 7.

______

Hope it helps ⚜

Can someone please help me with this question

Answers

Step-by-step explanation:

please mark me as brainlest

20 % of 2 is equal to
A. 20
B. 4
C. 0.4
D. 0.04

If Log 4 (x) = 12, then log 2 (x / 4) is equal to
A. 11
B. 48
C. -12
D. 22

Answers

Answer:

the answer to the first question is c. the second one is

2

\frac{x}{2}

2x​

x/2

Step-by-step explanation:

Answer:

20% of 2 is equal to 0.4

log 2 (x / 4) is equal to 22.

Kate is 11 45
years old. Karina is 1 16
years younger than Kate and Jane is 1 13
years younger than Karina. How old is Jane?

Answers

Kate-1145
Karina-1029
Jane-916

Find the slope given the the two points

Answers

Answer:

the answer is 2

Step-by-step explanation:

use the slope equation

y^1-y^2/x^1-x^2

-1-(-5)/1-(-1)

4/2

2

Which expression is equivalent to [(2a-3b4)2(3a5b)-2]-1 ? Assume a =/ 0, b =/ 0

Answers

Answer: The Third option

Step-by-step explanation:

1/36a^4b^10

Hope this is right!

The expression equivalent to the given expression is 1/36a⁴b¹⁰. Therefore, option C is the correct answer.

What is an equivalent expression?

Equivalent expressions are expressions that work the same even though they look different. If two algebraic expressions are equivalent, then the two expressions have the same value when we plug in the same value for the variable.

The given expression is ((2a⁻³b⁴)²/(3a⁵b)⁻²)⁻¹.

Now, ((2²a⁻⁶b⁸)/(3⁻²a⁻¹⁰b⁻²))⁻¹

= (2⁻²a⁶b⁻⁸)/(3²a¹⁰b²)

= (a⁶)/(3²2²a¹⁰b²b⁸)

= 1/36a⁴b¹⁰

Therefore, option C is the correct answer.

To learn more about an equivalent expression visit:

https://brainly.com/question/28170201.

#SPJ7

What is the slope of a line that contains the point
(3,7) and has a y-intercept of 1?

Answers

The slope is 2
Hope this helps!

If anyone reading this is in K12, what state are you in?
I do FL

Answers

Answer:

I am I the state of California

Wort out: 8 divided by 2/3

Answers

Answer:12

Step-by-step explanation:

how much does 1/3 package weigh

Answers

Answer:

1/3 package of what

Step-by-step explanation:

Colton and Gage were building a castle together. Colton was 5 times as fast at building the castle than Gage. If it takes 120 blocks to build the castle, how many blocks did Colton build on the castle?
A. 144 blocks
B. 100 blocks
C. 24 blocks
D. 20 blocks

Answers

Answer:

100 blocks.

Step-by-step explanation:

Let x represent number of blocks built by Gage.

We have been given that Colton was 5 times as fast at building the castle than Gage, so number of blocks built by Colton would be .

We are also told that it takes 120 blocks to build the castle. Since Colton and Gage were building a castle together, so number of blocks built by both will be equal to 120.

Hope it helped!

Identify the constant of proportionality from the graph.


Please help I’ll give brainlist just please help and please no links or spamming just please hurry and give me the answer thank you!!!

Answers

Answer:

y=3x

Step-by-step explanation:

you have to  figure out what mutiply  by your x give you y

2/1

3/6

when you divide  you get 2

Please help meeeeeeee! Gratefully appreciate it, happy holidays!

Answers

Answer:

x = 50

Step-by-step explanation:

180-(50+80)=x

180-130=50

What is the solution for -10 < x - 9?

x > -19
x < -1
x < -19
x > -1

Answers

Answer:

  x > -1

Step-by-step explanation:

Add 9 to both sides of the inequality.

  -10 +9 < x -9 +9

  -1 < x

In the form of the answers, ...

  x > -1

The solution for the given inequality is x > -1. The correct option is the last option x > -1

Linear inequalities

From the question, we are to determine the solution for the given inequality

The given inequality is -10 < x - 9

To solve an inequality, we will solve for the variable. The variable here is x

The inequality can be solved as follows

-10 < x - 9

Add 9 to both sides

-10 +9 < x - 9 + 9

Simplifying

-1 < x

Now, if -1 < x

Then,

x > -1

Hence, the solution for the given inequality is x > -1. The correct option is the last option x > -1

Learn more on solving Linear inequalities here: https://brainly.com/question/246993

You have $10 in your bank account. It doubles in the first month and every month thereafter. How much money will you have after 5 months?

Answers

after 5 months you will have $160

so,
10
10×2 =20
20×2=40
40×2 =80
80×2=160
hence proved that after 5 months you will have $160

a homeowners association charges a 4.65 fee for each day your payment is late if a bill was originally 103.55 and paid 22 days late then how much is owed to the home owners?

Answers

Answer:

207.1

Step-by-step explanation:

4.65×22=102.3

103.55+102.3= 207.1

How long is a bus journey that starts at 8.55 a.m. and ends at 9.17 a.m.?

Please can you put the answer in minutes?

Answers

Answer:

5+17=22 minute

In the table adam recorded the miles he travled each day while traveling from Florida to California. Calculate the average rate of change between day 4 and day 6.

Table:

End of day Distance
1 383
2 682
3 1132
4 1503
5 1906
6 2196

Answers: A) 231 Miles
B) 290 Miles
C) 347 Miles
D) 440 Miles

Answers

Hi!

To calculate the rate of change between days 4 and 6, we simply take those points, (4, 1503) and (6, 2196) and use the equation in the picture below:

Now, when we plug it in the equation, it looks like this:

[tex]\frac{2196-1503}{6-4} = \frac{693}{2} = 346.5[/tex]

Therefore, your answer is 346.5 or, rounded, 347.

Meaning, your answer is C

Hope this helps and have a great day! :D

How do you work out the problem x+3=4+x

Answers

Answer:

No solution

Step-by-step explanation:

Since both x's are positive, there's no way to put to x on either side, because when you transfer sides, you add/subtract the opposite, so there can't be a value for x

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