Math, asked by rbhujbal12, 1 year ago

find the value of 8x^3+27y^3 if 2x+3y=8 and xy=2

Answers

Answered by sonabrainly
1

2X+3Y = 8

8X³+27Y³ = (2X)³+(3Y)³

= (2X+3Y) × ((2X)²–2X×3Y+(3Y)²)

= 8 × ((2X+3Y)²–2×2X×3Y–6XY)

= 8 × (8²–18×2)

= 8×(64–36)

= 8×28

= 224

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