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Degger [83]
2 years ago
10

What is the product of the two binomials below?

Mathematics
1 answer:
Rufina [12.5K]2 years ago
7 0

Answer:

A. 9A² - 16B²

Step-by-step explanation:

(3A + 4B)(3A - 4B)

Distribute:

3A(3A - 4B)

4B(3A - 4B)

Multiply:

3A(3A - 4B)

3A(3A) + 3A(-4B)

9A² - 12AB

4B(3A - 4B)

4B(3A) + 4B(-4B)

12AB - 16B²

Combine like terms:

9A² - 12AB + 12AB - 16B² <== -12AB + 12AB cancels out

9A² - 16B²

Therefore, our final answer is 9A² - 16B²

Hope this helps!

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Evaluate the expression 5k2 - 7k when k = 3
VikaD [51]

Answer:

24

Step-by-step explanation:

In this question, you have to solve by plugging in the value to the "k" variable and solve.

Solve:

5(3)^2 - 7(3)

3^2 = 9

5(9) - 7(3)

45 - 7(3)

45 - 21 = 24

Your final answer would be 24.

4 0
3 years ago
Read 2 more answers
Jessie has some nickels, dimes, and quarters in her bank. The number of coins is 30. The expression 0.05n + 0.10d + 0.25q repres
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Answer:

n = 12 nickels

d = 11 dimes

q = 7 quarters

Step-by-step explanation:

.05n + .1d + .25q = 3.45

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n = q + 5

n = 12

d = 11

q = 7

8 0
3 years ago
Help!! Ill give 100 points!
Volgvan

Answer:

It will take about half an hour more for maria to finish his/her project than Juan.

Step-by-step explanation:

9/10 > 2/6

=> 54/60 > 20/60

=> 34/60

Therefore, it will take about half an hour more for maria to finish his/her project than Juan.

Hoped this helped.

5 0
3 years ago
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Misha surveyed students in her school about what writing tool they use. She found that 75 use pens; 30 of the pen users are boys
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Answer:

a.) 45

b.) 60

c.) 58

d. )77

e.) 135

Step-by-step explanation:

i took the test

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3 years ago
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Which polynomial represents the difference 6x2+3x-8 and x2-3x+4
Semmy [17]
The difference will be
6x^2+3x-8 - (x^2-3x+4) \\ =&#10;6x^2-3x-8-x^2+3x-4 \\ =&#10;5x^2 -12.
Remember that parentheses are needed for the second polynomial because the negative is distributed to all of its terms.

6 0
3 years ago
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