Factorise:

Question:

Factorise:
(l + m)2 − (l − m)2

Solution:

We have:

$(l+m)^{2}-(l-m)^{2}=\{(l+m)+(l-m)\}\{(l+m)-(l-m)\}$

$=(l+m+l-m)(l+m-l+m)$

$=(2 l)(2 m)$

$\therefore(l+m)^{2}-(l-m)^{2}=(2 l)(2 m)$

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