The factorisation of am^ 2 +bm^ 2 +bn^ 2 +an^ 2 is - Vidyadip

MCQ

The factorisation of $\mathrm{am}^{2}+\mathrm{bm}^{2}+\mathrm{bn}^{2}+\mathrm{an}^{2}$ is

A
$(a+b)\left(m^{2}-n^{2}\right)$
✓
$(a+b)\left(m^{2}+n^{2}\right)$
C
$(a-b)\left(m^{2}+n^{2}\right)$
D
$(a-b)\left(m^{2}-n^{2}\right)$

✓

Answer

Correct option: B.

$(a+b)\left(m^{2}+n^{2}\right)$

b
$a m^{2}+b m^{2}+b n^{2}+a n^{2}$
$=m^{2}(a+b)+n^{2}(b+a)$
$=(a+b)\left(m^{2}+n^{2}\right)$

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