Which of the following is a factor of ( x + y) whole cube - ( x cube + y cube)??
a) x square + y square + 2xy
​b) x square + y square - xy
​c) xy square
d) 3xy

Dear Student,

Please find below the solution to the asked query:

We have  : ( x + y )³  - ( x³ + y³ ) , So

$\Rightarrow$x³ + y³ + 3 x²y + 3  x y²  - ( x³ + y³ )

$\Rightarrow$x³ + y³ + 3 x²y + 3  x y²  -  x³ - y³ 

$\Rightarrow$3 x²y + 3 x y²  

$\Rightarrow$3 x y ( x + y )

So,  3 x y  and ( x + y )  are factors of given equation .

Option ( D )                                                                                  ( Ans )

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