Question 90 (iii)

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

$y^{2} - 14 y + 49$

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Solution

We have,
$y^{2} - 14 y + 49 = y^{2} - 2. y .7 + 7^{2} = (y - 7)^{2} = (y - 7) (y - 7)$

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