Question 88 (iii)

Factorise the following expression.

$a x^{3} - b x^{2} + c x$

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Solution

We have,
$a x^{3} - b x^{2} + c x = x (a x^{2} - b x + c)$

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a x^{3} - b x^{2} + c x

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

x^{2} + 14 x + 49

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

y^{2} - 14 y + 49

Question 91 (iii)

Factorise the following:

$y^{2} + 18 y + 65$

x^{2} + x + 1

a x^{3} + b x^{2} + c x + d

a x^{3} + b x^{2} + c x + d = 0

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