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Expansion of (a ± b ± c)²

x2-17x+16

Question

$x^{2} - 17 x + 16$

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Solution

First find the two numbers whose sum= -17 and product=16Clearly, the numbers are 16 and 1
∴ we get,
$x^{2} - 17 x + 16 = x^{2} - 16 x - 1 x + 16 = (x - 16) (x - 1)$

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$x^{2} - 17 x + 16$

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