Question
Factorise the expression: $10a^2- 15b^2+ 20c^2$
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Answer
$10a^2- 15b^2+ 20c^2= 2 \times 5 \times a \times a - 3 \times 5 \times b \times b + 2 \times 2 \times 5 \times c \times c$
Taking common factors from each term,
$= 5(2 \times a \times a - 3 \times b \times b + 2 \times 2 \times c \times c)$
$= 5(2a^2- 3b^2+ 4c^2)$
Taking common factors from each term,
$= 5(2 \times a \times a - 3 \times b \times b + 2 \times 2 \times c \times c)$
$= 5(2a^2- 3b^2+ 4c^2)$
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