Question

Factor out the following:
-x^5+9x^3

Answer 1

-x^3(x - 3)(x + 3).

Explanation:

-x^5+9x^3

the greatest common factor = x^3 so we can write it as

x^3(-x^2 + 9)

= -x^3(x^2 - 9)

The expression in the parentheses is the difference of 2 squares so we have:

-x^3(x - 3)(x + 3) Answer.

Answer 2

x^3(-x+3)(x+3)

Explanation:

-x^5 + 9x^3

factor out x^3

x^3(-x^2+9)

9 and -x^2 are perfect squares so we can factor out a 3 and an x to get (-x+3)(x+3)

the fully factored form would be x^3(-x+3)(x+3)