4x12y2+5x8y

Factor 4 out of 4x.

4(x)12y2+5x8y

Cancel the common factors.

Factor 4 out of 12y2.

4(x)4(3y2)+5x8y

Cancel the common factor.

4×4(3y2)+5x8y

Rewrite the expression.

x3y2+5x8y

x3y2+5x8y

x3y2+5x8y

To write x3y2 as a fraction with a common denominator, multiply by 88.

x3y2⋅88+5x8y

To write 5x8y as a fraction with a common denominator, multiply by 3y3y.

x3y2⋅88+5x8y⋅3y3y

Multiply x3y2 and 88.

x⋅83y2⋅8+5x8y⋅3y3y

Multiply 8 by 3.

x⋅824y2+5x8y⋅3y3y

Multiply 5x8y and 3y3y.

x⋅824y2+5x(3y)8y(3y)

Multiply 3 by 8.

x⋅824y2+5x(3y)24y⋅y

Raise y to the power of 1.

x⋅824y2+5x(3y)24(y1y)

Raise y to the power of 1.

x⋅824y2+5x(3y)24(y1y1)

Use the power rule aman=am+n to combine exponents.

x⋅824y2+5x(3y)24y1+1

Add 1 and 1.

x⋅824y2+5x(3y)24y2

x⋅824y2+5x(3y)24y2

Combine the numerators over the common denominator.

x⋅8+5x(3y)24y2

Factor x out of x⋅8+5x⋅3y.

Factor x out of x⋅8.

x(8)+5x⋅3y24y2

Factor x out of 5x⋅3y.

x(8)+x(5⋅3y)24y2

Factor x out of x(8)+x(5⋅3y).

x(8+5⋅3y)24y2

x(8+5⋅3y)24y2

Multiply 5 by 3.

x(8+15y)24y2

x(8+15y)24y2

Add (4x)/(12y^2)+(5x)/(8y)