3x-15x2y+7x+15x2y

Combine the numerators over the common denominator.

3x-1+7x+15x2y

Add -1 and 1.

3x+7x+05x2y

Add 3x+7x and 0.

3x+7x5x2y

3x+7x5x2y

Add 3x and 7x.

10x5x2y

Factor 5 out of 10x.

5(2x)5x2y

Cancel the common factors.

Factor 5 out of 5x2y.

5(2x)5(x2y)

Cancel the common factor.

5(2x)5(x2y)

Rewrite the expression.

2xx2y

2xx2y

2xx2y

Factor x out of 2x.

x⋅2x2y

Cancel the common factors.

Factor x out of x2y.

x⋅2x(xy)

Cancel the common factor.

x⋅2x(xy)

Rewrite the expression.

2xy

2xy

2xy

Add (3x-1)/(5x^2y)+(7x+1)/(5x^2y)