Question

Factorize completely
a) (2x - y - z)^3 + (-x + 2y - z)^3 + (-x -y + 2z)^3



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Answer 1

Answer:

=6x3−9x2y−9x2z−9xy2+36xyz−9xz2+6y3−9y2z−9yz2+6z3

Step-by-step explanation:

firstly combine d like terms

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

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

=6x3+−9x2y+−9x2z+−9xy2+36xyz+−9xz2+6y3+−9y2z+−9yz2+6z3

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