How do you factor the expression #25x^2+70x+49#?
2 Answers
Jul 10, 2018
Explanation:
Given:
#25x^2+70x+49#
Note that:

Both
#25x^2 = (5x)^2# and#49 = 7^2# are perfect squares. 
The middle term is
#70x = 2(5x)(7)# .
So the given expression is a perfect square trinomial, matching:
#A^2+2AB+B^2 = (A+B)^2#
with
#25x^2+70x+49 = (5x)^2+2(5x)(7)+7^2 = (5x+7)^2#
Jul 10, 2018
Explanation:
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