How do you multiply (x ^ { 2} - 5x ) ( 5x - 25)?

2 Answers
May 14, 2018

5x^3 - 50x^2 + 125x

Explanation:

F.O.I.L.

First, Outer, Inner, Last: order of terms to multiplied

First terms:
(x^2 - 5x)(5x - 25)

5x * x^2 = 5x^3

Outer terms:
(x^2 - 5x)(5x - 25)

x^2 * -25 = -25x^2

Inner terms:
(x^2 - 5x)(5x - 25)

-5x * 5x = -25x^2

Last terms:
(x^2 - 5x)(5x - 25)

-5x * -25 = 125x because two negatives make a positive.

Add all your terms together:

5x^3 - 25x^2 -25x^2 + 125x

Combine like terms.

5x^3 - 50x^2 + 125x

May 14, 2018

Through distribution

Explanation:

First take x^2 * 5x, then x^2 * -25, after distributing the x^2 do the same with the -5x in the first parenthesis. After getting your solutions ( 5x^3+ 25x^2- 10x^2+125x) you can simplify. Adding the 25x^2 and the 10x^2 getting 35x^2.