Factorise: 100-(x-5)^2 - Vidyadip

Question

Factorise: $100-(x-5)^2$

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Answer

$100-(x-5)^2$
$(10)^2-(x-5)^2$
$= (10 + x - 5)(10 - x + 5) $
$= (5 + x)(15 - x)$$

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