# If 3x+2y = 12and xy= 6,find the value 9x2+4y2

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**Answer:**

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**Step-by-step explanation:**

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Answered by

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**Answer:**

9x^2 +4y^ 2 =72

**Step-by-step explanation:**

3x+2y=12

Squaring both sides, we get

(3x+2y)^2 =144

⇒9x^2 +4y^2 +2×3x×2y =144

⇒9x^2 +4y^2 =144−12xy

⇒9x^2 +4y^2 = 144−12×6 since xy=6

⇒9x^2 +4y^2 =144−72=72

∴9x^2 +4y^ 2 =72

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