Question

Simplify the expression: 3x2(x2 - 4x - 2) + (5x3 + 7x2 + 2x + 11)
Show and explain your steps. PLEASE!!!

Answer 1

Answer:

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

Step-by-step 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:

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