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Degger [83]
1 year ago
10

What is the product of the two binomials below?

Mathematics
1 answer:
Rufina [12.5K]1 year 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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Margarita [4]

Answer:

(- 4, 1 )

Step-by-step explanation:

Given the 2 equations

y = x + 5 → (1)

x - 5y = - 9 → (2)

Substitute y = x + 5 into (2)

x - 5(x + 5) = - 9 ← distribute and simplify left side

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Substituting into (1)

y = - 4 + 5 = 1

Solution is (- 4, 1 )

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