factorize m^2-2mn+n^2-16
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Answer:
Check that the middle term is two times the product of the numbers being squared in the first term and third term.
2
m
n
=
2
⋅
m
⋅
n
Rewrite the polynomial.
m
2
+
2
⋅
m
⋅
n
+
n
2
Factor using the perfect square trinomial rule
a
2
+
2
a
b
+
b
2
=
(
a
+
b
)
2
, where
a
=
m
and
b
=
n
.
(
m
+
n
)
2
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