12x2y2+8xy2-8y22x2y

Factor 4y2 out of 12x2y2.

4y2(3×2)+8xy2-8y22x2y

Factor 4y2 out of 8xy2.

4y2(3×2)+4y2(2x)-8y22x2y

Factor 4y2 out of -8y2.

4y2(3×2)+4y2(2x)+4y2(-2)2x2y

Factor 4y2 out of 4y2(3×2)+4y2(2x).

4y2(3×2+2x)+4y2(-2)2x2y

Factor 4y2 out of 4y2(3×2+2x)+4y2(-2).

4y2(3×2+2x-2)2x2y

4y2(3×2+2x-2)2x2y

Factor 2 out of 4y2(3×2+2x-2).

2(2y2(3×2+2x-2))2x2y

Cancel the common factors.

Factor 2 out of 2x2y.

2(2y2(3×2+2x-2))2(x2y)

Cancel the common factor.

2(2y2(3×2+2x-2))2(x2y)

Rewrite the expression.

2y2(3×2+2x-2)x2y

2y2(3×2+2x-2)x2y

2y2(3×2+2x-2)x2y

Factor y out of 2y2(3×2+2x-2).

y(2y(3×2+2x-2))x2y

Cancel the common factors.

Factor y out of x2y.

y(2y(3×2+2x-2))yx2

Cancel the common factor.

y(2y(3×2+2x-2))yx2

Rewrite the expression.

2y(3×2+2x-2)x2

2y(3×2+2x-2)x2

2y(3×2+2x-2)x2

Apply the distributive property.

2y(3×2)+2y(2x)+2y⋅-2×2

Rewrite using the commutative property of multiplication.

2⋅3(yx2)+2y(2x)+2y⋅-2×2

Rewrite using the commutative property of multiplication.

2⋅3(yx2)+2⋅2(yx)+2y⋅-2×2

Multiply -2 by 2.

2⋅3(yx2)+2⋅2(yx)-4yx2

2⋅3(yx2)+2⋅2(yx)-4yx2

Multiply 2 by 3.

6(yx2)+2⋅2(yx)-4yx2

Multiply 2 by 2.

6yx2+4yx-4yx2

6yx2+4yx-4yx2

Split the fraction 6yx2+4yx-4yx2 into two fractions.

6yx2+4yxx2+-4yx2

Split the fraction 6yx2+4yxx2 into two fractions.

6yx2x2+4yxx2+-4yx2

Cancel the common factor.

6yx2x2+4yxx2+-4yx2

Divide 6y by 1.

6y+4yxx2+-4yx2

6y+4yxx2+-4yx2

Factor x out of 4yx.

6y+x(4y)x2+-4yx2

Cancel the common factors.

Factor x out of x2.

6y+x(4y)x⋅x+-4yx2

Cancel the common factor.

6y+x(4y)x⋅x+-4yx2

Rewrite the expression.

6y+4yx+-4yx2

6y+4yx+-4yx2

6y+4yx+-4yx2

Move the negative in front of the fraction.

6y+4yx-4yx2

Divide (12x^2y^2+8xy^2-8y^2)/(2x^2y)