What is the value of the expression $3p^2 q r - 2 ... | Free GMAT Practice Question | GMAT Panda

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What is the value of the expression 3 p^{2} q r - 2 p q^{2} r, if p = 1, q = 2, and r = - 3 ?

Explanation	Calculations	Help
$We first note the values of the variables for substitution.$	$p = 1 q = 2 r = - 3$
$We calculate the first term by substituting the values into the expression and following the order of operations.$	$3 p^{2} q r = 3 \times 1^{2} \times 2 \times (- 3) = 3 \times 1 \times 2 \times (- 3) = 6 \times (- 3) = - 18$	Theory & Tactics Method Card ALG5-D Click to view full details
$We calculate the second term by substituting the values into the expression and following the order of operations.$	$2 p q^{2} r = 2 \times 1 \times 2^{2} \times (- 3) = 2 \times 1 \times 4 \times (- 3) = 8 \times (- 3) = - 24$	Theory & Tactics Method Card ALG5-D Click to view full details
$We subtract the second term from the first to find the value of the whole expression.$	$3 p^{2} q r - 2 p q^{2} r = - 18 - (- 24) = 6$

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A

What is the value of the expression 3 p^{2} q r - 2 p q^{2} r, if p = 1, q = 2, and r = - 3 ?

Explanation	Calculations	Help
$We first note the values of the variables for substitution.$	$p = 1 q = 2 r = - 3$
$We calculate the first term by substituting the values into the expression and following the order of operations.$	$3 p^{2} q r = 3 \times 1^{2} \times 2 \times (- 3) = 3 \times 1 \times 2 \times (- 3) = 6 \times (- 3) = - 18$	Theory & Tactics Method Card ALG5-D Click to view full details
$We calculate the second term by substituting the values into the expression and following the order of operations.$	$2 p q^{2} r = 2 \times 1 \times 2^{2} \times (- 3) = 2 \times 1 \times 4 \times (- 3) = 8 \times (- 3) = - 24$	Theory & Tactics Method Card ALG5-D Click to view full details
$We subtract the second term from the first to find the value of the whole expression.$	$3 p^{2} q r - 2 p q^{2} r = - 18 - (- 24) = 6$

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A