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Factorisation by Regrouping Terms

Factorise. m...

Question

Factorise.
$m^{2} - 23 m + 120$ .

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Solution

Consider the given expression.

$\Rightarrow m^{2} - 23 m + 120$

$\Rightarrow m^{2} - 15 x - 8 x + 120$

$\Rightarrow m (m - 15) - 8 (m - 15)$

$\Rightarrow (m - 15) (m - 8)$

Hence, this is the required factorization.

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m^{2} - 23 m + 120

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(l + m)^{2} - (l - m)^{2}

(l + m)^{2} - (l - m)^{2}

Factorise :

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

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