Respuesta :

ANSWER
[tex]25 {x}^{2} - 16 =( {5x - 4})(5x + 4)[/tex]

EXPLANATION

We want to factor the expression,

[tex]25 {x}^{2} - 16[/tex]

We can rewrite the expression as

[tex]25 {x}^{2} - 16 = ({5x})^{2} - {4}^{2} [/tex]

The expression is now a difference of two squares,

Recall that,

[tex] {a}^{2} - {b}^{2} = (a - b)(a + b)[/tex]

The expression now becomes;

[tex]25 {x}^{2} - 16 =( {5x - 4})(5x + 4)[/tex]


Therefore the correct answer is option A.

Answer:

a

Step-by-step explanation: