If 2x + 3y = 12 and xy = 6, find the value of 4x^2 + 9y^2.

Topic: Algebra
Subtopic: Polynomials

A72

B96

C108

D144

Explanation

(2x + 3y)^2 = 4x^2 + 9y^2 + 12xy => 12^2 = 4x^2 + 9y^2 + 12(6) => 144 = 4x^2 + 9y^2 + 72 => 4x^2 + 9y^2 = 72.

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