Factor 81a^2-72a+16

Math
81a2-72a+16
Rewrite 81a2 as (9a)2.
(9a)2-72a+16
Rewrite 16 as 42.
(9a)2-72a+42
Check that the middle term is two times the product of the numbers being squared in the first term and third term.
72a=2⋅(9a)⋅4
Rewrite the polynomial.
(9a)2-2⋅(9a)⋅4+42
Factor using the perfect square trinomial rule a2-2ab+b2=(a-b)2, where a=9a and b=4.
(9a-4)2
Factor 81a^2-72a+16

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