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Misha Larkins [42]
3 years ago
8

Factor:(m+2)^2−(m+2)+mn·(n+2)+2n(n+2)

Mathematics
1 answer:
bazaltina [42]3 years ago
5 0
ANSWER
{(m + 2)}( {n}^{2} + 2n + m + 1)

EXPLANATION

The given expression is

{(m + 2)}^{2} - (m + 2) + mn(n + 2) + 2n(n + 2)

We factor to get,

= {(m + 2)}(m + 2 - 1) +n (n + 2) (m+ 2)

This implies that,

= {(m + 2)}(m + 1) +n (n + 2) (m+ 2)

We factor further to obtain,

= {(m + 2)}((m + 1) +n (n + 2))

or

= {(m + 2)}( {n}^{2} + 2n + m + 1)
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