Question 92 (vi)

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

$9 x^{2} - 1$

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Solution

$9 x^{2} - 1 = (3 x)^{2} - 1^{2} = (3 x - 1) (3 x + 1)$

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Question 92 (vi)

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

$9 x^{2} - 1$

Question 92 (xxxi)

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

$9 x^{2} - (3 y + z)^{2}$

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

p^{2} . y^{2} - 2 p y + 1

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a^{2} x^{2} + 2 a x + 1

Question 92 (xix)

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

$x^{4} - 1$

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