Factorise (x+y)^3 - (x-y)^3 – InterviewSolution

1.

Factorise (x+y)^3 - (x-y)^3

Answer»

Step-by-step EXPLANATION:

( X + y) ³ - ( x - y)³

=x³ + 3x²y + 3xy² + y³ - ( x³ -3x²y+3xy² -y³)

=x³ + 3x²y + 3xy² + y³ - x³ + 3x²y - 3xy² +y³

=x³ - x³ + 3x² y + 3x² y + 3xy² - 3xy² + y³ + y³

= 6x²y +2y³ answer

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