What is the value of 27x^3+8y^3 if 3x+2y=14 and xy = 8?
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Take the cube of 3x+2y=14 on both sides.
It will be 27x^3+8y^3+3(3x)(2y)(3x+2y)=14^3
27x^3+8y^3+18(8)(14)=14*14*14
27x^3+8y^3=14(196-144)
27x^3+8y^3=14*52
27x^3+8y^3=728
It will be 27x^3+8y^3+3(3x)(2y)(3x+2y)=14^3
27x^3+8y^3+18(8)(14)=14*14*14
27x^3+8y^3=14(196-144)
27x^3+8y^3=14*52
27x^3+8y^3=728
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