If $u+v=M$ and $u v=N$, then what is the value of ... | Free GMAT Practice Question | GMAT Panda

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If u + v = M and uv = N, then what is the value of (u - 4) (v - 4) ?

Explanation	Calculations	Help
$We expand the expression "(u-4)(v-4)" by multiplying each term in the first parenthesis by each term in the second.$	$(u - 4) (v - 4) = uv - 4 u - 4 v + 16$	Theory & Tactics Method Card CALC2-D Click to view full details
$We substitute "uv=N" and factor out the negative four from the terms involving the variables.$	$uv - 4 u - 4 v + 16 = N - 4 (u + v) + 16$
$We replace "u+v=M" to simplify the expression.$	$N - 4 (u + v) + 16 = N - 4 M + 16$

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C

If u + v = M and uv = N, then what is the value of (u - 4) (v - 4) ?

Explanation	Calculations	Help
$We expand the expression "(u-4)(v-4)" by multiplying each term in the first parenthesis by each term in the second.$	$(u - 4) (v - 4) = uv - 4 u - 4 v + 16$	Theory & Tactics Method Card CALC2-D Click to view full details
$We substitute "uv=N" and factor out the negative four from the terms involving the variables.$	$uv - 4 u - 4 v + 16 = N - 4 (u + v) + 16$
$We replace "u+v=M" to simplify the expression.$	$N - 4 (u + v) + 16 = N - 4 M + 16$

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C