Question

6

Simplify the following expression.
(9x2 - 3x + 7) + (-3x2 + 2)

A. 6x2 + 9
B. 12x2 - 3x + 5
C. 6x2 - 3x + 9
D. 6x2 + 3x + 9

Answer 1

The above expression is not in its simplest form, and we need to simplify it, that is what asked in the question.

Given equation,

`(9 {x}^(2) - 3x + 7) + ( - 3 {x}^(2) + 2)`

First of all, let's open the parentheses to combine the like terms for simplifying.

`9 {x}^(2) - 3x + 7 - 3 {x}^(2) + 2`

Arranging the like terms, x² with x², x with x and constant terms near to each other.

`9 {x}^(2) - 3 {x}^(2) - 3x + 7 + 2`

Simplying further,

`(9 - 3) {x}^(2) - 3x + 9`

`6 {x}^(2) - 3x + 9`

So, the correct option is C

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