Factor a/2x+a/2y+b/3x+b/3y

$\frac{a}{2} x + \frac{a}{2} y + \frac{b}{3} x + \frac{b}{3} y$

Step 1

Factor out the greatest common factor from each group.

Group the first two terms and the last two terms.

$(\frac{a}{2} \cdot x + \frac{a}{2} \cdot y) + \frac{b}{3} \cdot x + \frac{b}{3} \cdot y$

Factor out the greatest common factor (GCF) from each group.

$\frac{a}{2} (x + y) + \frac{b}{3} (x + y)$

Step 2

Factor the polynomial by factoring out the greatest common factor, $x + y$ .

$(x + y) (\frac{a}{2} + \frac{b}{3})$