If $p - q = T$ and $pq = U$, then $(p+5)(q - 5) =$... | Free GMAT Practice Question | GMAT Panda

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If p - q = T and pq = U, then (p + 5) (q - 5) =

Explanation	Calculations	Help
$We first expand the product by multiplying each term in the first parentheses with each term in the second.$	$(p + 5) (q - 5) = pq - 5 p + 5 q - 25$
$We then group the terms that share the common factor 5 to simplify the expression.$	$pq - 5 p + 5 q - 25 = U - 5 p + 5 q - 25 = U + 5 (q - p) - 25$
$We then apply the fact that reversing subtraction changes the sign, and substitute the given "p - q = T" .$	$U + 5 (q - p) - 25 = U + 5 (- (p - q)) - 25 = U + 5 (- T) - 25 = U - 5 T - 25$

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A

If p - q = T and pq = U, then (p + 5) (q - 5) =

Explanation	Calculations	Help
$We first expand the product by multiplying each term in the first parentheses with each term in the second.$	$(p + 5) (q - 5) = pq - 5 p + 5 q - 25$
$We then group the terms that share the common factor 5 to simplify the expression.$	$pq - 5 p + 5 q - 25 = U - 5 p + 5 q - 25 = U + 5 (q - p) - 25$
$We then apply the fact that reversing subtraction changes the sign, and substitute the given "p - q = T" .$	$U + 5 (q - p) - 25 = U + 5 (- (p - q)) - 25 = U + 5 (- T) - 25 = U - 5 T - 25$

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A