Answer:
d. x^5(x^2 - 1)
Step-by-step explanation:
x^7 - x^5
Factor out x^5
x^5(x^2−1)
Consider x^2−1. Rewrite x^2−1 as x^2−1^2. The difference of squares can be factored using the rule: a^2 - b^2 =(a−b)(a+b).
(x−1)(x+1)
Rewrite the complete factored expression.
x^5(x−1)(x+1)
Simplify.
(x^2 - 1)x^5
Swap terms to the left side.
x^5(x^2 - 1)
Answer: D. [tex]x^{5} (x^{2} -1)[/tex]
Step-by-step explanation:
x^5 (x^2-1)
x^5 (x^2-1^2)
x^5 (x+1)(x-1)
