Question

2(m+2n)²+5(m+2n)+2
find the factor​

Answer 1

Solution

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To factorise: 2(m+2n)

2

+5(m+2n)+2

Now, let (m+2n)=x

So,

2(m+2n)

2

+5(m+2n)+2

=2x

2

+5x+2

=2x

2

+4x+x+2

=2x(x+2)+1(x+2)

=(2x+1)(x+2)

Putting the value of x

=[2(m+2n)+1][(m+2n)+2]

=(2m+4n+1)(m+2n+2)

Hence, factorised.