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Question
Add
x3 + y3 − z3 + 3xyz, − x3 + y3 + z3 − 6xyz, x3 − y3 − z3 − 8xyz
Solution
Sum of the given expressions
= (x3 + y3 − z3 + 3xyz)+(− x3 + y3 + z3 − 6xyz)+(x3 − y3 − z3 − 8xyz)
Rearranging and collecting the like terms
= x3 -x3 + x3 + y3 + y3 − y3 -z3 + z3 − z3 + 3xyz-6xyz-8xyz
= (1-1+1)x3 + (1+1-1)y3 + (-1+1-1)z3 +(3-6-8)xyz
= x3 + y3 − z3 -11xyz
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