Question

Simplify the following expression (3x^2-11x-4)-(x-2)(2x+3)

Answer 1

`x^2-10x+2`

Explanation:

Given the following question:


`(3x^2-11x-4)-(x-2)(2x+3)`

To find the answer we need to simplify by using inverse operations and of course grouping like terms.


`(3x^2-11x-4)-(x-2)(2x+3)`

`3x^2-11x-4-\left(x-2\right)\left(2x+3\right)`

`\left(x-2\right)\left(2x+3\right)=-2x^2+x+6`

`3x^2-11x-4-2x^2+x+6`

`3x^2-2x^2-11x+x-4+6`

`-4+6=2`

`3x^2-2x^2-11x+x+2`

`3x^2-2x^2=x^2`

`x^2-11x+x+2`

`11x-x=10x`

`x^2-10x+2`

Your answer is "x^2 - 10x + 2."

Hope this helps.