Math, asked by mariam05, 1 year ago

$8x ^{3} + 27y {}^{3} \\ = (2x) {}^{3} + (3y ){}^{3} \\ a {}^{3} + b {}^{3} = (a + b) \: (a {}^{2} + b {}^{2} - ab) \\ a ^{3} + b {}^{3} = (a + b)((a + b ){}^{2} - 3ab) \\ a = 2x \: and \: b = 3y \\ (2x + 3y)((2 x + 3y) {}^{2} - 3(2x)(3y)) \\ = 12(12 {}^{2} - 18xy) \\ = 12(144 - 18x6) \\ = 12(144 - 8) \\ = 12x36 \\ = 432$

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