Question

How do you simplify: `4(x -1)^2 -3 (x+4)`?

Answer 1

`4x^2-11x-8`

Explanation:

We know that,
`color(Blue)((A-B)^2=A^2-2AB+B^2)`
So,`(x-1)^2=x^2-2x+1`
Now,
`4(x-1)^2-3(x+4)=4(x^2-2x+1)-3(x)-3(4)`
`=4(x^2)+4(-2x)+4(1)-3x-12`
`=4x^2-8x+4-3x-12`
`=4x^2-8x-3x+4-12`
`=4x^2-11x-8`