Question

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

Answer 1

2x-y)3+(3x+y)3 

Final result :

5x • (7x2 + 3xy + 3y2)

Step by step solution :

Step  1  :

 1.1    Evaluate :  (2x-y)3   =  8x3-12x2y+6xy2-y3   1.2    Evaluate :  (3x+y)3   =  27x3+27x2y+9xy2+y3 

Step  2  :

Pulling out like terms :

 2.1     Pull out like factors :

   35x3 + 15x2y + 15xy2  =   5x • (7x2 + 3xy + 3y2) 

Trying to factor a multi variable polynomial :

 2.2    Factoring    7x2 + 3xy + 3y2 

Try to factor this multi-variable trinomial using trial and error 

 Factorization fails

Final result :

5x • (7x2 + 3xy + 3y2)

Answer 2

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here is ur answer