Simplify:
$25 a b c^{2} - 15 a^{2} b^{2} c$

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Solution

We have, $25 a b c^{2} - 15 a^{2} b^{2} c$
$= (5 \times 5 \times a \times b \times c \times c) - (3 \times 5 \times a \times a \times b \times b \times c)$
$[Taking 5 a b c as common]$
$= 5 a b c ((5 \times c) - (3 \times a \times b))$
$= 5 a b c (5 c - 3 a b)$ .

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