Practice Quiz

SAT Math

Category - Algebra and Functions

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If x^2 + y^2 = 5, what is the value of (x^4 − y^4)/(x^2 − y^2 )?
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  5. 5
Explanation
Answer: E - The value of the expression is 5. Use x^2 − y^2 = (x − y)(x + y)
(x^4 − y^4)/(x^2 − y^2 ) = ((x^2 )^2 − (y^2 )^2)/(x^2 − y^2 ) = ((x^2 − y^2 )(x^2 + y^2))/(x^2 − y^2 ) = x^2 + y^2 = 5
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