Question 90 (ii)

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

$(x^{2} - 10 x + 25)$

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Solution

We have,
$x^{2} - 10 x + 25 = x^{2} - 2. x .5 + 5^{2} = (x - 5)^{2} = (x - 5) (x - 5)$

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