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Both x and y are integers. Which of the following expression
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30 Jul 2020, 13:37
30 Jul 2020, 13:37
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61% (01:31) correct
38% (01:25) wrong based on 76 sessions
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Both x and y are integers. Which of the following expressions must be the square of an integer?
Indicate all such expressions.
A. \((x+y)(x-y)+8xy+17y^2\)
B. \(9x^4-12x^2y^2+4y^4\)
C. \(x^6+2x^3y^3+y^6\)
Indicate all such expressions.
A. \((x+y)(x-y)+8xy+17y^2\)
B. \(9x^4-12x^2y^2+4y^4\)
C. \(x^6+2x^3y^3+y^6\)
Re: Both x and y are integers. Which of the following expression
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31 Jul 2020, 10:00
31 Jul 2020, 10:00
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How come A is correct. If we take x=1 and y=1, expression A will be 8 which is not square of any integer.
B is correct because we can factorize it as (3x^2 - 2y^2)^2
C is correct because we can factorize it as (x^3 + y^3)^2
So, the answers should be B and C.
B is correct because we can factorize it as (3x^2 - 2y^2)^2
C is correct because we can factorize it as (x^3 + y^3)^2
So, the answers should be B and C.
Re: Both x and y are integers. Which of the following expression
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03 Aug 2020, 10:40
03 Aug 2020, 10:40
Expert Reply
Fixed the typo in the first answer choice.
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