If 2x+3y=4 and xy=3 find value of 8x³+2y³.
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Answer:
- 200
Step-by-step explanation:
8x³+27y³ = ( 2x+3y)(4x² + 9y² - 6xy) = ( 2x+3y){4x² + 9y² +12xy - 18xyxy }
= ( 2x+3y){ ( 2x+3y)² - 18xyxy } = 4 ( 4 - 18*3) = 4(-50) = - 200
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