If x + y = 10 and xy = 21, find the value of x^3 + y^3.

Topic: Algebra
Subtopic: Identities

A350

B370

C400

D430

Explanation

x^3 + y^3 = (x+y)(x^2-xy+y^2) = (x+y)((x+y)^2-3xy) = 10(100-3*21) = 10(100-63) = 10*37 = 370.

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