✿If 2x+3y = 13 and XY = 6,find the value of 8x^3+27y^3..
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9
Answer:
8x^3+27y^3
(2x)^3+(3y)^3
(2x+3y)^3-3(2x)(3y)(2x+3y)
(13)^3-3(6xy)(13)
2197-3{6(6)}(13)
2197-3×36×13
2197-3×468
2197- 1404
397
Answered by
8
ANswer
ᴡᴇ ʜᴀᴠᴇ,
(2x+3ʏ)^3 = (2x)^3 + (3ʏ)^3 + 3(2x)(3ʏ)(2x+3ʏ)
➠(2+3)= 8x^3+27ʏ^3+18xʏ(2x+3ʏ)
➠(13)^3 = 8x^3+27ʏ^3 + 18(6)(13)
➠2197 = 8x^3+27ʏ^3+1401
➠8x^3+27ʏ^3
➠2197-1404
➠793
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