What is the value of $p q^2 r - p^2 q r$, if $p=5$... | Free GMAT Practice Question | GMAT Panda

👋 Hi! I'm GMAT Panda. Ask me anything about this question, or click a button below to get started!

What is the value of p q^{2} r - p^{2} q r, if p = 5, q = 2, and r = - 3 ?

Explanation	Calculations	Help
$We list the given values to substitute into the expression.$	$p = 5 q = 2 r = - 3$
$We calculate the first term by applying the order of operations.$	$p q^{2} r = 5 \times 2^{2} \times (- 3) = 5 \times 4 \times (- 3) = 20 \times (- 3) = - 60$	Theory & Tactics Method Card ALG5-D Click to view full details
$We calculate the second term by applying the order of operations.$	$p^{2} q r = 5^{2} \times 2 \times (- 3) = 25 \times 2 \times (- 3) = 50 \times (- 3) = - 150$	Theory & Tactics Method Card ALG5-D Click to view full details
$We subtract the second term from the first term to find the value of the expression.$	$p q^{2} r - p^{2} q r = (- 60) - (- 150) = - 60 + 150 = 90$

Scroll horizontally to view all columns

C

What is the value of p q^{2} r - p^{2} q r, if p = 5, q = 2, and r = - 3 ?

Explanation	Calculations	Help
$We list the given values to substitute into the expression.$	$p = 5 q = 2 r = - 3$
$We calculate the first term by applying the order of operations.$	$p q^{2} r = 5 \times 2^{2} \times (- 3) = 5 \times 4 \times (- 3) = 20 \times (- 3) = - 60$	Theory & Tactics Method Card ALG5-D Click to view full details
$We calculate the second term by applying the order of operations.$	$p^{2} q r = 5^{2} \times 2 \times (- 3) = 25 \times 2 \times (- 3) = 50 \times (- 3) = - 150$	Theory & Tactics Method Card ALG5-D Click to view full details
$We subtract the second term from the first term to find the value of the expression.$	$p q^{2} r - p^{2} q r = (- 60) - (- 150) = - 60 + 150 = 90$

Scroll horizontally to view all columns

C