Question

Simplify the expression: 3x2(x2 - 4x - 2) + (5x3 + 7x2 + 2x + 11)

Show and explain your steps. PLEASE!!!

Answer 1

`3x^4-7x^3+x^2+2x+11`

Explanation:

`3x^2(x^2 - 4x - 2) + (5x^3 + 7x^2 + 2x + 11)`

First, I will expand the expression
`3x^2(x^2 - 4x - 2)`

`3x^2(x^2 - 4x - 2) \\3x^4-12x^3-6x^2`

So, we got

`3x^4-12x^3-6x^2+ 5x^3 + 7x^2 + 2x + 11`

Adding similar elements, we get:

`3x^4-7x^3+x^2+2x+11`