Use the identity below to complete the tasks:

a3 − b3 = (a − b)(a2 + ab + b2)

When using the identity for the sum of two cubes to factor 125q6 − r6s3.

What is a?
What is b?
Factor the expression.

(
q2 − r2s) (
q4 +
q2r2s +
r4s2)

Afarmer has a large field that is x feet in length. he wants to fence in a rectangular section in the middle of the field , leaving a length of 100 feet of open field behind each end of the fenced rectangle.he also wants the width of the fenced-in space to be 100 feet less than its length. find the expressions to represent the length and width of the fenced section of the field