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
_________________
I hope this helps!
Regards:
Karun Mendiratta
Founder and Quant Trainer
Prepster Education, Delhi, Indiahttps://www.instagram.com/prepster_education/