Simplifying a rational expression with two variables. x2+xy−2y2x2+3xy+2y2

Question

Simplifying a rational expression with two variables.  x2+xy−2y2x2+3xy+2y2

Ayesha Gomez · Accepted Answer

Step 1 The given rational expression is, x2+xy−2y2x2+3xy+2y2 Step 2 It is simplified as follows. x2+xy−2y2x2+3xy+2y2=x2−xy+2xy−2y2x2+xy+2xy+2y2 =x(x−y)+2y(x−y)x(x+y)+2y(x+y) =(x+2y)(x−y)(x+2y)(x+y) =x−yx+y

Simplifying a rational expression with two variables. x2+xy−2y2x2+3xy+2y2

Answered question

Answer & Explanation