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If $x + y = 5$ and $x y = 6$ , what is $x^{3} + y^{3}$ ?

Class 9Algebraic IdentitiesPolynomials

A35
B215
C17
D125

Step-by-Step Solution

x^{3} + y^{3} = (x + y)^{3} - 3 x y (x + y) = 125 - 90 = 35

. Check with

x = 2, y = 3 : 8 + 27 = 35

.

Answer: A) 35

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