If $p + q = A$ and $p q = B$, then what is $(p + 5... | Free GMAT Practice Question | GMAT Panda

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If p + q = A and pq = B, then what is (p + 5) (q + 5) = ?

Explanation	Calculations	Help
$We expand the product of the two binomials.$	$(p + 5) (q + 5) = pq + 5 p + 5 q + 25$	Theory & Tactics Method Card CALC2-D Click to view full details
$We replace the product of p and q with B, and we factor out 5 from the terms involving p and q.$	$pq + 5 p + 5 q + 25 = B + 5 (p + q) + 25$
$We replace the sum of p and q with A to arrive at the final expression.$	$B + 5 (p + q) + 25 = B + 5 A + 25$

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B

If p + q = A and pq = B, then what is (p + 5) (q + 5) = ?

Explanation	Calculations	Help
$We expand the product of the two binomials.$	$(p + 5) (q + 5) = pq + 5 p + 5 q + 25$	Theory & Tactics Method Card CALC2-D Click to view full details
$We replace the product of p and q with B, and we factor out 5 from the terms involving p and q.$	$pq + 5 p + 5 q + 25 = B + 5 (p + q) + 25$
$We replace the sum of p and q with A to arrive at the final expression.$	$B + 5 (p + q) + 25 = B + 5 A + 25$

Scroll horizontally to view all columns

B