Question

${(x + y)}^{4} - {(x - y)}^{4}$
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Answer 1

Answer:

Step-by-step explanation:

Step  1  :

1.1     Evaluate :  (x+y)4   =    x4+4x3y+6x2y2+4xy3+y4  

1.2     Evaluate :  (x-y)4   =    x4-4x3y+6x2y2-4xy3+y4  

Step  2  :

Pulling out like terms :

2.1     Pull out like factors :

 8x3y + 8xy3  =   8xy • (x2 + y2)  

Final result :

 8xy • (x2 + y2)

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