Factor 25p^2-40pq+16q^2

Math
25p2-40pq+16q2
Rewrite 25p2 as (5p)2.
(5p)2-40pq+16q2
Rewrite 16q2 as (4q)2.
(5p)2-40pq+(4q)2
Check that the middle term is two times the product of the numbers being squared in the first term and third term.
40pq=2⋅(5p)⋅(4q)
Rewrite the polynomial.
(5p)2-2⋅(5p)⋅(4q)+(4q)2
Factor using the perfect square trinomial rule a2-2ab+b2=(a-b)2, where a=5p and b=4q.
(5p-4q)2
Factor 25p^2-40pq+16q^2

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