Find the value of 27 x cube + 8y cube if 3x + 2y =14 and xy=8
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Answered by
87
according to the formula (a+b) whole cube=a cube +b cube +3ab(a+b)
xy=8 then xy*3*2=8*6=48=3x*2y
a cube=27 x cube
b cube=8 y cube then
(3x +2y)cube=27 x cube +8y cube +3(3x)(2y)(3x+2y)
(14)cube=27xcube +8ycube+3(48)(14)
2744=27xcube+8ycube+2016
2744-2016=728=27xcube +8ycube
xy=8 then xy*3*2=8*6=48=3x*2y
a cube=27 x cube
b cube=8 y cube then
(3x +2y)cube=27 x cube +8y cube +3(3x)(2y)(3x+2y)
(14)cube=27xcube +8ycube+3(48)(14)
2744=27xcube+8ycube+2016
2744-2016=728=27xcube +8ycube
Answered by
10
Answer:
Answer:Therefore the Answer is 728
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