find the value of 27 x cube + 8 y cube if 3 X + 2 Y is equal to 14 and X Y is equal to 8
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27x³ + 8y³ = (3x)³ + (2y)³ = (3x+2y)(9x² + 4y² - 2x*4y)
= (14) ((3x+2y)²- 2*3x*2y - 8xy)
= (14) (196 -12xy - 8xy)
= (14) (196 - 20xy) = (14)(196 - 20*8)
= (14) (196-160)
= 14*36 = 504
= (14) ((3x+2y)²- 2*3x*2y - 8xy)
= (14) (196 -12xy - 8xy)
= (14) (196 - 20xy) = (14)(196 - 20*8)
= (14) (196-160)
= 14*36 = 504
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