Question

Which product is equivalent to 25x2 – 16?

Answer 1

ANSWER
$25 {x}^{2} - 16 =( {5x - 4})(5x + 4)$

EXPLANATION

We want to factor the expression,

$25 {x}^{2} - 16$

We can rewrite the expression as

$25 {x}^{2} - 16 = ({5x})^{2} - {4}^{2}$

The expression is now a difference of two squares,

Recall that,

${a}^{2} - {b}^{2} = (a - b)(a + b)$

The expression now becomes;

$25 {x}^{2} - 16 =( {5x - 4})(5x + 4)$


Therefore the correct answer is option A.

Answer 2

Answer:

(5x − 4)(5x + 4)

Step-by-step explanation:

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