Question

What is the simplest form of the expression -2x^2(x+5)+x(2x^2-10x)+x

Answer 1

x

Explanation:

-2x^2(x-5)+x(2x^2-10x)+x

Distribute-2x^2 through parentheses

-2x^3+10x^2+(2x^2-10x)+x

Distribute x through parentheses

-2x^3+10x^2+2x^3-10x^2+x

Eliminate the opposites

-2x^3+2x^3=0 and 10x^2-10x^2=0 both sets of opposites cancel each other out, which leaves us with just x remaining.

The simplest form of of the expression is x.

Answer 2

For this case we have the following expression:
-2x ^ 2 (x + 5) + x (2x ^ 2-10x) + x
Rewriting we have:
-2x ^ 3 - 10x ^ 2 + 2x ^ 3 - 10x ^ 2 + x
Grouping terms with the same exponent:
x ^ 3 (-2 + 2) + x ^ 2 (-10 - 10) + x
-20x ^ 2 + x
Rewriting:
x (-20x + 1)
Answer:
The simple form of the expression is:
x (-20x + 1)