Question

Factorize : 8x3 - y3 + 125z3+ 30xyz​

Answer 1

=> 8x3 - y3 + 125z3+ 30xyz

we can use identity

${x}^{3} + {y}^{3 } + {z}^{3} - 3xyz$

equal to

$x + y + z( {x}^{2} + {y}^{2} + {z }^{2} - xy - yz - zx)$

=> (2x)³+(-y)³+(5z)³-3(2x)(-y) (5z)

=> (2x-y+5z){(2x)²+(-y)²+(5z)²-(2x)(-y)-(-y)(5z)-(5z)(2x)}

=> (2x-y+5z)(4x²+y²+25z²+2xy+5yz-10xz)