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Factorization — MATHS STD 8 — Question

Gujarat BoardEnglish MediumSTD 8MATHSFactorization3 Marks
Question
Factorise the expression and divide them as directed: $(m^2– 14m – 32)\div (m + 2)$
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Answer

$(m^2– 14m – 32) \div(m + 2)$
$ = \frac{{{m^2} - 14m - 32}}{{m + 2}}$
$ = \frac{{{m^2} - 16m + 2m - 32}}{{m + 2}}$. . . . [Using Identity $IV$
$ = \frac{{m(m - 16) + 2(m - 16)}}{{m + 2}}$
$ = \frac{{m(m - 16)(m + 2)}}{{m + 2}}$
$= m – 16$

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