Question

factorise the following
$8 {x}^{3} + 27 {y}^{3} + 125 { {z}^{3} } - 90xyz$
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Answer 1

Answer:

(2x)3+(3x)3+(5x)3-2×2×3×5

(2x+3x+5x)3

(2x+3x+5x)(2x2+3x2+5x2)

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Answer 2

${ \boxed{ \huge{8 {x}^{3} + 27 {y}^{3} + 125 { {z}^{3} } - 90xyz }}}\\ \\ { \large{= > {(2x)}^{3} + {(3y)}^{3} + {(5z)}^{3} - 3(2x)(3y)(5z)}} \\ \\ { \large{ = > { \red{(2x + 3y + 5z)( {4x}^{2} + {9y}^{2} + {25z}^{2} - 6xy - 15yz - 10xz )}}}}$