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

1 Answer
Suren Abreu
Jul 1, 2017

#(x-5)^2# or #(x-5)(x-5)#

Explanation:

#(x^2-5x)-(5x-25)#

Open the brackets. The product of a positive and a negative is a negative. The product of two negatives is a positive.

#x^2-5x-5x+25#

#x(x-5)-5(x-5)#

#(x-5)(x-5)#

#(x-5)^2#

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