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What is the value of the expression x(x 2)^3 when x = 1?

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What is the value of the expression x(x 2)^3 when x = 1? [#permalink] New post   03 Mar 2021, 02:02
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What is the value of the expression \(x(x – 2)^{3}\) when x = –1?

(A) -27
(B) -1
(C) 1
(D) 9
(E) 27

PS13704

Source: GMAT Official Practice.
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E
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Re: What is the value of the expression x(x 2)^3 when x = 1? [#permalink] New post   03 Mar 2021, 10:39
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quynhtran2209 wrote:
What is the value of the expression \(x(x – 2)^{3}\) when x = –1?

(A) -27
(B) -1
(C) 1
(D) 9
(E) 27

Source: GMAT Official Practice.

\(x(x – 2)^{3}\)
= \((-1)(-1 – 2)^{3}\)
= -1 * -27
= 27

Answer:
Show Spoiler
E
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Re: What is the value of the expression x(x 2)^3 when x = 1? [#permalink] New post   12 Jan 2023, 22:25
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Re: What is the value of the expression x(x 2)^3 when x = 1? [#permalink] New post   03 Mar 2021, 02:33
Given equation is \(x(x-2)^{3}\).

Value of x given is \(-1\).

Substituting given value of \( x\) in the given equation.

\(-1(-1-2)^3 =>\) \(-1(-3)^3 =>\) \(-1*-27 => 27\).

The OA is E
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Re: What is the value of the expression x(x 2)^3 when x = 1? [#permalink] New post   03 Mar 2021, 08:13
Asked: What is the value of the expression \(x(x – 2)^{3}\) when x = –1?

\(x(x – 2)^{3} = (-1)(-3)^3 = (-1)(-27) = 27\)

IMO E
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Re: What is the value of the expression x(x 2)^3 when x = 1? [#permalink] New post   03 Mar 2021, 09:08
quynhtran2209 wrote:
What is the value of the expression \(x(x – 2)^{3}\) when x = –1?

(A) -27
(B) -1
(C) 1
(D) 9
(E) 27

Source: GMAT Official Practice.


\((-1 – 2)^{3}\) = \((– 3)^{3}\) = (- 27)

\(x (- 27)\) = \((-1) (- 27)\) = 27
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Re: What is the value of the expression x(x 2)^3 when x = 1? [#permalink] New post   20 Mar 2021, 13:05
Expert Reply
quynhtran2209 wrote:
What is the value of the expression \(x(x – 2)^{3}\) when x = –1?

(A) -27
(B) -1
(C) 1
(D) 9
(E) 27

Source: GMAT Official Practice.

Solution:

The value of the expression x(x - 2)^3 when x = -1 is:

(-1)(-1 - 2)^3 = (-1)(-27) = 27

Answer: E
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Re: What is the value of the expression x(x 2)^3 when x = 1? [#permalink]
20 Mar 2021, 13:05
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