chaycebell1194 chaycebell1194
  • 25-04-2019
  • Mathematics
contestada



Which expression is equivalent to 7a4 - 28?













A) -7(a2 + 2)(a2 + 2)



B) 7(a2 + 2)(a2 - 2)

Eliminate


C) 7(a2 + 2)(a2 + 2)



D) 7(a2 - 2)(a2 - 2)

Respuesta :

kudzordzifrancis
kudzordzifrancis kudzordzifrancis
  • 04-05-2019

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]

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