Question

Express the following expression in simplest form.(-4x2 + 8x + 2) - (-3x2 - 6x + 9)

Answer 1

`-x^(2) +14x-7.`

Explanation:

1. Write the expression.

`(-4x^(2) + 8x + 2) - (-3x^(2) - 6x + 9)`

2. Eliminate the left hand side parenthesis.

`-4x^(2) + 8x + 2 - (-3x^(2) - 6x + 9)`

3. Change the symbols of all elements in the right hand side parenthesis to solve it.

`-4x^(2) + 8x + 2+3x^(2)+6x-9`

4. Operate with like temrs to simplify them.

`(-4x^(2) +3x^(2) )+(8x+6x)+(2-9)\\ \\(-x^(2) )+(14x)+(-7)\\ \\-x^(2) +14x-7`

5. Express your result.

`(-4x^(2) + 8x + 2) - (-3x^(2) - 6x + 9)=\\ \\-x^(2) +14x-7.`

Answer 2

(-4x2 + 8x + 2) - (-3x2 - 6x + 9)

Distribute the minus sign:

-4x2+8x+2 +3x2+6x-9

Collect like terms

-4x2+3x2+8x+6x+2-9

-x^2+14x-7