Answer: E - The value of the expression is 5. Use x2 − y2 = (x − y)(x + y)(x4 − y4)/(x2 − y2 ) = ((x2 )2 − (y2 )2)/(x2 − y2 ) = ((x2 − y2 )(x2 + y2))/(x2 − y2 ) = x2 + y2 = 5

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SAT Math

Category - Algebra and Functions

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If x² + y² = 5, what is the value of (x⁴ − y⁴)/(x² − y² )?

Explanation

Answer: E - The value of the expression is 5.

Use x² − y² = (x − y)(x + y)

(x⁴ − y⁴)/(x² − y² ) = ((x² )² − (y² )²)/(x² − y² ) = ((x² − y² )(x² + y²))/(x² − y² ) = x² + y² = 5

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