Mathematics: Which of the following is the correct factorization of 2522 – 16? O a. (5x + 4)(5x + 4) O b. (5x – 4)(5x – 4) O c. (5x + 4)(5x — 4) O d. (5x + 8)(5x – 8)

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Which of the following is the correct factorization

meganwintergirl

30.01.2022

Answer C

$\Large \boxed{\sf \bf \ \ (5x-4)(5x+4) \ \ }$

Step-by-step explanation:

Hello, I assume that you means 25x^2-16 , right?

$25x^2-16=(5x)^2-4^2=\large \boxed{\sf (5x-4)(5x+4)}$

Because we know that a and b real numbers:

a^2-b^2=(a-b)(a+b)

Hope this helps.

Do not hesitate if you need further explanation.

Thank you

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