How do you multiply (x ^ { 2} - 5x ) ( 5x - 25)(x25x)(5x25)?

2 Answers
May 14, 2018

5x^35x3 - 50x^250x2 + 125x125x

Explanation:

F.O.I.L.

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

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

5x5x * x^2x2 = 5x^35x3

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

x^2x2 * -2525 = -25x^225x2

Inner terms:
(x^2x2 - 5x)(5x - 25)

-5x * 5x5x5x = -25x^225x2

Last terms:
(x^2x2 - 5x)(5x - 25)

-5x * -255x25 = 125x125x because two negatives make a positive.

Add all your terms together:

5x^35x3 - 25x^225x2 -25x^225x2 + 125x125x

Combine like terms.

5x^35x3 - 50x^250x2 + 125x125x

May 14, 2018

Through distribution

Explanation:

First take x^2x2 * 5x, then x^2x2 * -25, after distributing the x^2x2 do the same with the -5x in the first parenthesis. After getting your solutions ( 5x^35x3+ 25x^225x2- 10x^2+125x10x2+125x) you can simplify. Adding the 25x^225x2 and the 10x^210x2 getting 35x^235x2.