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In your notebook, set up the following subtraction in a vertical format and select the correct answer. Take -4 + 3a 2 from 7a - a 2.

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(7a - a²)
- (-4 + 3a²)
==========
(7a - a²)
+ (4 - 3a²)
==========
7a + 4 - 4a² = - 4a² + 7a + 4 ...//
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ANSWER

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

EXPLANATION

We want to take,

[tex] - 4 + 3 {a}^{2} [/tex]

from

[tex]7a - {a}^{2} [/tex]

Mathematically we can write this statement as,

[tex](7 a - {a}^{2} ) - ( - 4 + 3 {a}^{2} )[/tex]

We use the distributive property to expand to obtain,

[tex]7 a - {a}^{2} + 4 - 3 {a}^{2} [/tex]

We regroup to obtain,

[tex]4 + 7a - {a}^{2} - 3 {a}^{2} [/tex]

This simplifies to

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

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