How do you factor #(5x-2)^2-49#?

1 Answer
Hammer
Feb 20, 2018

See explanation below.

Explanation:

We can see that the expression is of this type :
#a^2 - b^2#, which is equal to #(a-b)(a+b)#.

In this case, #a = 5x-2# and #b=7#.

So it becomes :

#(5x-2)^2 - (7)^2 = (5x-2+7)(5x-2-7)#

Which in turn is equal to

#(5x+5)(5x-9)#.

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