Question

$(x+y{)}^3-(x-y{)}^3$ can be factorized as

• A. $2y(3x^2+y^2)$
• B. $2x(3x^2+y^2)$
  
• C. $2y(3y^2+x^2)$
  
• D. $2x(x^2+3y^2)$
  

Answer 1

The correct option is A

$2y(3x^2+y^2)$

$(x+y{)}^3-(x-y{)}^3=(x+y-x+y)\left[\right(x+y{)}^2+(x+y)(x-y)+(x-y{)}^2]=2y(x^2+y^2+2xy+x^2-y^2+x^2+y^2-2xy)=2y(3x^2+y^2)$