Factorise the following expression:
$5 x^{2} y - 15 x y^{2}$

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Solution

$5 x^{2} y = 5 \times x \times x \times y 15 x y^{2} = 3 \times 5 \times x \times y \times y T h e c o m m o n f a c t o r s a r e 5, x a n d y ∴ 5 x^{2} y - 15 x y^{2} = (5 \times x \times x \times y) - (3 \times 5 \times x \times y \times y) = 5 \times x \times y [x - (3 \times y)] = 5 x y (x - 3 y)$

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