4 years ago

1) If 2x + 3y = 12 and xy = 6, find the value of 4x2 +9y2.

Mathematics

1 answer:

d1i1m1o1n [39]4 years ago

3 0

Answer:

Step-by-step explanation:

Given that 2x + 3y = 12 , then

(2x + 3y)² = 12² = 144 ← distribute left side using FOIL

4x² + 12xy + 9y² = 144 ( subtract 12xy from both sides )

4x² + 9y² = 144 - 12xy = 144 - 12(6) = 144 - 72 = 72

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1) If 2x + 3y = 12 and xy = 6, find the value of 4x2 +9y2.​

1) If 2x + 3y = 12 and xy = 6, find the value of 4x2 +9y2.