If $m - n = D$ and $mn = E$, then $(m - 3)(n + 3) ... | Free GMAT Practice Question | GMAT Panda

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If m - n = D and mn = E, then (m - 3) (n + 3) =

Explanation	Calculations	Help
$We expand the expression by distributing each term of the first binomial across the second binomial.$	$(m - 3) (n + 3) = mn + 3 m - 3 n - 9$
$We replace "mn = E" with E to simplify the expression.$	$mn + 3 m - 3 n - 9 = E + 3 m - 3 n - 9$	Theory & Tactics Method Card CALC3-A Click to view full details
$We factor out 3 from the middle terms and use "m - n = D" to finish simplification.$	$E + 3 m - 3 n - 9 = E + 3 (m - n) - 9 = E + 3 D - 9$

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D

If m - n = D and mn = E, then (m - 3) (n + 3) =

Explanation	Calculations	Help
$We expand the expression by distributing each term of the first binomial across the second binomial.$	$(m - 3) (n + 3) = mn + 3 m - 3 n - 9$
$We replace "mn = E" with E to simplify the expression.$	$mn + 3 m - 3 n - 9 = E + 3 m - 3 n - 9$	Theory & Tactics Method Card CALC3-A Click to view full details
$We factor out 3 from the middle terms and use "m - n = D" to finish simplification.$	$E + 3 m - 3 n - 9 = E + 3 (m - n) - 9 = E + 3 D - 9$

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D