Which of the following is a factor of (x+y)^3−(x^3+y^3)? x^2−2xy+y^2 xy^2 3xy x^2+xy+y^2

Question

Macas6tl · Accepted Answer

P  (  x  )  =  (  x  +  y  )  (  x  +  y      )    2    −  (  x  +  y  )  (      x    2    −  x  y  +      y    2    )    =  (  x  +  y  )  (      x    2    +  2  x  y  +      y    2    )  −  (  x  +  y  )  (      x    2    −  x  y  +      y    2    )    =  (  x  +  y  )  (      x    2    +  2  x  y  +      y    2    −      x    2    +  x  y  −      y    2    )    =  (  x  +  y  )  (  3  x  y  )So, answer is 3xy

Which of the following is a factor of (x+y)^3−(x^3+y^3)? x^2−2xy+y^2 xy^2 3xy x^2+xy+y^2

Answered question

Answer & Explanation