# Factor 49-70a+25a^2

49-70a+25a2
Rewrite 49 as 72.
72-70a+25a2
Rewrite 25a2 as (5a)2.
72-70a+(5a)2
Check that the middle term is two times the product of the numbers being squared in the first term and third term.
70a=2⋅7⋅(5a)
Rewrite the polynomial.
72-2⋅7⋅(5a)+(5a)2
Factor using the perfect square trinomial rule a2-2ab+b2=(a-b)2, where a=7 and b=5a.
(7-5a)2
Factor 49-70a+25a^2
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