Question

If 2x+3y = 12 and xy = 5, find the value of 4x²-9y²

Answer 1

Answer:

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Answer 2

Answer:

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$\red {QUESTION}$

If 2x+3y = 12 and xy = 5, find the value of 4x²-9y²

$\green {ANSWER}$

Given,

2x+3y= 12 and xy= 5

Squaring both sides:-

(2x-3y)² = 8²

4x²+9y²+2 × 2x × 3y= 64

4x²+9y²+12 × 5= 64

4x²+9y² + 60 = 64

4x²+9y² = 64-60

4x²+9y²= 4

Hence proved:-

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