What is the product of the two binomials below?

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

A. 9A^2 - 16B^2

B. 2A^2 - 4B^2

C. 3A^2 + 4B^2

D. 9A^2 + 16B^2

Question

Today at 1:24 AM
Mathematics

Answered

What is the product of the two binomials below?

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

A. 9A^2 - 16B^2

B. 2A^2 - 4B^2

C. 3A^2 + 4B^2

D. 9A^2 + 16B^2

Answer :

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Esther Esther · Answer 1 · 2025-04-17T01:29:52-04:00

Esther Esther

Today at 1:29 AM

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!

Answer Link

What is the product of the two binomials below? (3A + 4B)(3A - 4B) A. 9A^2 - 16B^2 B. 2A^2 - 4B^2 C. 3A^2 + 4B^2 D. 9A^2 + 16B^2

Answer :

Other Questions

What is the product of the two binomials below?

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

A. 9A^2 - 16B^2

B. 2A^2 - 4B^2

C. 3A^2 + 4B^2

D. 9A^2 + 16B^2