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cluponka [151]
3 years ago
12

Which expression is equivalent to 7a4 - 28?

Mathematics
1 answer:
Olegator [25]3 years ago
4 0

ANSWER

B.

7( {a}^{2}  + 2)( {a}^{2}   - 2)

EXPLANATION

The given expression is

7 {a}^{4}  - 28

First factor 7 to get,

7 ({a}^{4}  - 4)

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

7 (({ {a}^{2} )}^{2}  - 4)

Recall that:

{x}^{2}  -  {y}^{2} = (x + y)(x - y)

We apply this to our expression to get:

7 (({ {a}^{2} )}^{2}  -  {2}^{2} ) = 7( {a}^{2}  + 2)( {a}^{2}   - 2)

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<u>Step-by-step explanation:</u>

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The first draw should be a red ball.

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