Question 92 (x)

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

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

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Solution

$49 x^{2} - 36 y^{2} = (7 x)^{2} - (6 y)^{2} = (7 x - 6 y) (7 x + 6 y)$

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Question 92 (x)

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

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

Question 92 (vii)

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

$25 a x^{2} - 25 a$

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

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

Question 92 (xxvi)

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

$(a - b)^{2} - (b - c)^{2}$

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

16 x^{2} + 40 x + 25

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