Question

$l {}^{2} - (m - n) {}^{2}$
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Answer 1

Answer:

$(l) ^{2} - (m - n) ^{2}$

=l²–m²–n²+2mn ( by a²+b²–2ab=(a–b)²)

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Factorisation:

as, (a²–b²)=(a+b)(a–b)

Thus,

$(l) ^{2} - {(m - n)}^{2} =$

$(l + m - n)(l -( m - n))$

$or \: (l + m - n)(l - m + n)$

Answer 2

$l^2 - (m-n)^2\\= [l+(m-n)]*[l-(m-n)]\\=(l+m-n)(l-m+n)$

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