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For which of the following expressions is x − y a factor?

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Carcass
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For which of the following expressions is x − y a factor? [#permalink] New post   10 Feb 2022, 08:15
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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. \(x^4-2x^2y^2+y^4\)
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A,B,C,E
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Re: For which of the following expressions is x − y a factor? [#permalink] New post   24 Feb 2022, 00:53
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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. \(x^4-2x^2y^2+y^4\)


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
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Re: For which of the following expressions is x y a factor? [#permalink] New post   18 Nov 2025, 08:07
Hello from the GRE Prep Club BumpBot!

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Re: For which of the following expressions is x y a factor? [#permalink]
18 Nov 2025, 08:07
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