Question

simplify ( x+y)³ - (x-y)³​

Answer 1

Answer:

=2y(y²+3x²)

Step-by-step explanation:

=x³+y³+3xy(x+y)-(x²+y²-2xy)(x-y)

=x³+y³+3x²y+3xy²-x³+y³+3x²y-3xy²

=2y³+6x²y

=2y(y²+3x²)

Answer 2

Step-by-step explanation:

Final result :

 2y • (3x2 + y2)

Step by step solution :

Step  1  :

1.1     Evaluate :  (x+y)3   =    x3+3x2y+3xy2+y3  

1.2     Evaluate :  (x-y)3   =    x3-3x2y+3xy2-y3  

Step  2  :

Pulling out like terms :

2.1     Pull out like factors :

  6x2y + 2y3  =   2y • (3x2 + y2)  

Final result :

 2y • (3x2 + y2)

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