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Factorisation by Common Factors

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Question

Find the value at x=1 and y=1 of the function $64 x y + 8 x y^{2}$ .

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Solution

The given expression $64 x y + 8 x y^{2}$

$64 x y + 8 x y^{2} = 8 x y (8 + y)$ (Taking $8 x y$ as common)

$x = 1 a n d y = 1 s o$
$f (x) = 8 * 1 * 1 (8 + 1) = 72$

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