Question 88 (x)

Factorise the following expression.

$24 x^{2} y z^{3} - 6 x y^{3} z^{2} + 15 x^{2} y^{2} z - 5 x y z$

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Solution

We have, $24 x^{2} y z^{3} - 6 x y^{3} z^{2} + 15 x^{2} y^{2} z - 5 x y z$
$= x y z (24 x z^{2} - 6 y^{2} z + 15 x y - 5)$

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2 x^{2} - 2 y + 4 x y - x

Question 92 (x)

Factorise the following using the identity $a^{2} - b^{2} = (a + b) (a - b) .$

$49 x^{2} - 36 y^{2}$

a^{2} + 2 a b + b^{2} = (a + b)^{2}

16 x^{2} + 40 x + 25

x^{2} + 4 x - 77

a^{2} - 2 a b + b^{2} = (a - b)^{2}

\frac{x^{2}}{4} - 2 x + 4

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