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Factorize 2 x...

Question

Factorize

(2x+y)³+(z-y)³-(z+2x)³

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Solution

2x+y)3+(z−y)3−(z+2x)3
Distribute:
=8x3+12x2y+6xy2+y3+−y3+3y2z+−3yz2+z3+−8x3+−12x2z+−6xz2+−z3

Combine Like Terms:
=8x3+12x2y+6xy2+y3+−y3+3y2z+−3yz2+z3+−8x3+−12x2z+−6xz2+−z3

=(8x3+−8x3)+(12x2y)+(−12x2z)+(6xy2)+(−6xz2)+(y3+−y3)+(3y2z)+(−3yz2)+(z3+−z3)

=12x2y+−12x2z+6xy2+−6xz2+3y2z+−3yz2

Answer:
=12x2y−12x2z+6xy2−6xz2+3y2z−3yz2

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