If 2x – 3y = 7 and xy = 3, find the value of 4x^2 + 9y^2.

Topic: Algebra
Subtopic: Identities

A73

B79

C85

D91

Explanation

(2x – 3y)^2 = 4x^2 – 12xy + 9y^2 => 7^2 = 4x^2 – 12(3) + 9y^2 => 49 = 4x^2 – 36 + 9y^2 => 4x^2 + 9y^2 = 49 + 36 = 85.

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