Question

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.

Answer 1

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

Answer 2

ANSWER


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

Step-by-step explanation

We want to take,


`- 4 + 3 {a}^(2)`

from


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

Mathematically we can write this statement as,


`(7 a - {a}^(2) ) - ( - 4 + 3 {a}^(2) )`

We use the distributive property to expand to obtain,


`7 a - {a}^(2) + 4 - 3 {a}^(2)`

We regroup to obtain,


`4 + 7a - {a}^(2) - 3 {a}^(2)`

This simplifies to


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