Question

Expand the following.
Question = (5x + 3)3
Answer = 125x3 + 225x2 + 135x + 27​

Answer 1

Answer:

STEP

1

:

Equation at the end of step 1

(((125 • (x3)) - (32•52x2)) + 135x) - 27

STEP

2

:

Equation at the end of step

2

:

((53x3 - (32•52x2)) + 135x) - 27

STEP

3

:

Checking for a perfect cube

3.1 125x3-225x2+135x-27 is not a perfect cube

Trying to factor by pulling out :

3.2 Factoring: 125x3-225x2+135x-27

Thoughtfully split the expression at hand into groups, each group having two terms :

Group 1: 135x-27

Group 2: -225x2+125x3

Pull out from each group separately :

Group 1: (5x-1) • (27)

Group 2: (5x-9) • (25x2)