CBSE Class 9 Answered
Factorize
: x3 - 8y3 - 27z3 - 18xyz.
Asked by Topperlearning User | 04 Jun, 2014, 01:23: PM
Expert Answer
x3 - 8y3 - 27z3 - 18xyz
= (x)3 + (-2y)3 + (-3z)3 - 3(x)(-2y) (-3z)
Using the identity:
a3 + b3 + c3 - 3abc - (a+ b + c) (a2 + b2 + c2 - ab - bc - ca)
= (x - 2y - 3z) (x2 + 4y2 + 9z2 - 2xy + 6yz - 3xz)
Answered by | 04 Jun, 2014, 03:23: PM
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