What is the value of $p^3 q - 2 p q^2$, if $p = -1... | Free GMAT Practice Question | GMAT Panda

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What is the value of p^{3} q - 2 p q^{2}, if p = - 1 and q = 4 ?

Explanation	Calculations	Help
$We have "p = -1" and "q = 4", so we can substitute them into the expression.$	$p = - 1 q = 4$
$We calculate the first term of the expression.$	$p^{3} q = (- 1)^{3} \times 4 = - 1 \times 4 = - 4$	Theory & Tactics Method Card ALG5-D Click to view full details
$We calculate the second term of the expression.$	$2 p q^{2} = 2 \times (- 1) \times 4^{2} = 2 \times (- 1) \times 16 = - 32$	Theory & Tactics Method Card ALG5-D Click to view full details
$We subtract the second term from the first to find the value of the expression.$	$p^{3} q - 2 p q^{2} = - 4 - (- 32) = 28$	Theory & Tactics Method Card ALG5-D Click to view full details

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D

What is the value of p^{3} q - 2 p q^{2}, if p = - 1 and q = 4 ?

Explanation	Calculations	Help
$We have "p = -1" and "q = 4", so we can substitute them into the expression.$	$p = - 1 q = 4$
$We calculate the first term of the expression.$	$p^{3} q = (- 1)^{3} \times 4 = - 1 \times 4 = - 4$	Theory & Tactics Method Card ALG5-D Click to view full details
$We calculate the second term of the expression.$	$2 p q^{2} = 2 \times (- 1) \times 4^{2} = 2 \times (- 1) \times 16 = - 32$	Theory & Tactics Method Card ALG5-D Click to view full details
$We subtract the second term from the first to find the value of the expression.$	$p^{3} q - 2 p q^{2} = - 4 - (- 32) = 28$	Theory & Tactics Method Card ALG5-D Click to view full details

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D