1.

Factorize:8x3 + 27y3 − 216z3 + 108xyz

Answer»

8x3 + 27y3 − 216z3 + 108xyz 

= (2x)3 + (3y)3 +(−6y)3 −3(2x)(3y)(−6z) 

= (2x+3y+(−6z)){ (2x)2+(3y)2+(−6z)2 −2x×3y−3y(−6z)−(−6z)2x} 

= (2x+3y−6z) {4x2 +9y2 +36z2 −6xy + 18yz + 12zx}


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