Respuesta :

ANSWER

B.

[tex]7( {a}^{2} + 2)( {a}^{2} - 2)[/tex]

EXPLANATION

The given expression is

[tex]7 {a}^{4} - 28[/tex]

First factor 7 to get,

[tex]7 ({a}^{4} - 4)[/tex]

Write the expression in the parenthesis as difference of two squares:

[tex]7 (({ {a}^{2} )}^{2} - 4)[/tex]

Recall that:

[tex]{x}^{2} - {y}^{2} = (x + y)(x - y)[/tex]

We apply this to our expression to get:

[tex]7 (({ {a}^{2} )}^{2} - {2}^{2} ) = 7( {a}^{2} + 2)( {a}^{2} - 2)[/tex]