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Factorization — MATHS STD 8 — Question

Gujarat BoardEnglish MediumSTD 8MATHSFactorization3 Marks
Question
Factorise the expression and divide them as directed: $5pq (p^2– q^2)$ $\div$ $2p (p + q)$
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Answer

$5pq (p^2– q^2)$ $\div$ $2p (p + q)$
$ = \frac{{5pq({p^2} - {q^2})}}{{2p(p + q)}}$
$ = \frac{{5pq(p + q)(p - q)}}{{2p(p + q)}}$. . . . [Using Identity $III]$
$ = {5q(p-q) \over 2}$

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