Question 92 (vii)

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

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

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Solution

$25 a x^{2} - 25 a = 25 a (x^{2} - 1^{2}) = 25 a (x - 1) (x + 1)$

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Question 92 (vii)

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

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

Question 92 (v)

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

$28 a y^{2} - 175 a x^{2}$

Question 92 (xxv)

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

$16 x^{4} - 625 y^{4}$

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

a^{2} y^{2} - 2 a b y + b^{2}

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

a^{2} x^{2} + 2 a b x + b^{2}

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