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For which of the following expressions is x − y a factor?
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10 Feb 2022, 08:15
10 Feb 2022, 08:15
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42% (00:46) correct
57% (01:15) wrong based on 19 sessions
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For which of the following expressions is x − y a factor?
Indicate all such expressions.
A. \(y^3-x^3\)
B. \((x^2-y^2)^5\)
C. \(x^3-3x^2y+3xy^2-y^3\)
D. \(x^2+y^2
\)
E. \(x^4-2x^2y^2+y^4\)
Indicate all such expressions.
A. \(y^3-x^3\)
B. \((x^2-y^2)^5\)
C. \(x^3-3x^2y+3xy^2-y^3\)
D. \(x^2+y^2
\)
E. \(x^4-2x^2y^2+y^4\)
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Official Answer
A,B,C,E
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Re: For which of the following expressions is x − y a factor?
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24 Feb 2022, 00:53
24 Feb 2022, 00:53
3
Carcass wrote:
For which of the following expressions is x − y a factor?
Indicate all such expressions.
A. \(y^3-x^3\)
B. \((x^2-y^2)^5\)
C. \(x^3-3x^2y+3xy^2-y^3\)
D. \(x^2+y^2
\)
E. \(x^4-2x^2y^2+y^4\)
Indicate all such expressions.
A. \(y^3-x^3\)
B. \((x^2-y^2)^5\)
C. \(x^3-3x^2y+3xy^2-y^3\)
D. \(x^2+y^2
\)
E. \(x^4-2x^2y^2+y^4\)
If (x - y) is a factor of given expression, then plugging x = y would give us 0
Let's check;
A. \(y^3-x^3\)
\(y^3-y^3 = 0\)
B. \((x^2-y^2)^5\)
\((y^2-y^2)^5 = 0^5\)
C. \(x^3-3x^2y+3xy^2-y^3\)
\(y^3-3y^3+3y^3-y^3 = 0\)
D. \(x^2+y^2\)
\(y^2+y^2 = 2y^2\)
E. \(x^4-2x^2y^2+y^4\)
\(y^4-2y^4+y^4 = 2y^4 - 2y^4 = 0\)
Hence, option A, B, C and E
Re: For which of the following expressions is x y a factor?
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15 Sep 2023, 06:34
15 Sep 2023, 06:34
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Thanks to another GRE Prep Club member, I have just discovered this valuable topic, yet it had no discussion for over a year. I am now bumping it up - doing my job. I think you may find it valuable (esp those replies with Kudos).
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