# Divide (12w^4-6w^3+w^2)/(3w^2)

12w4-6w3+w23w2
Factor w2 out of 12w4-6w3+w2.
Factor w2 out of 12w4.
w2(12w2)-6w3+w23w2
Factor w2 out of -6w3.
w2(12w2)+w2(-6w)+w23w2
Multiply by 1.
w2(12w2)+w2(-6w)+w2⋅13w2
Factor w2 out of w2(12w2)+w2(-6w).
w2(12w2-6w)+w2⋅13w2
Factor w2 out of w2(12w2-6w)+w2⋅1.
w2(12w2-6w+1)3w2
w2(12w2-6w+1)3w2
Cancel the common factor of w2.
Cancel the common factor.
w2(12w2-6w+1)3w2
Rewrite the expression.
12w2-6w+13
12w2-6w+13
Split the fraction 12w2-6w+13 into two fractions.
12w2-6w3+13
Split the fraction 12w2-6w3 into two fractions.
12w23+-6w3+13
Cancel the common factor of 12 and 3.
Factor 3 out of 12w2.
3(4w2)3+-6w3+13
Cancel the common factors.
Factor 3 out of 3.
3(4w2)3(1)+-6w3+13
Cancel the common factor.
3(4w2)3⋅1+-6w3+13
Rewrite the expression.
4w21+-6w3+13
Divide 4w2 by 1.
4w2+-6w3+13
4w2+-6w3+13
4w2+-6w3+13
Cancel the common factor of -6 and 3.
Factor 3 out of -6w.
4w2+3(-2w)3+13
Cancel the common factors.
Factor 3 out of 3.
4w2+3(-2w)3(1)+13
Cancel the common factor.
4w2+3(-2w)3⋅1+13
Rewrite the expression.
4w2+-2w1+13
Divide -2w by 1.
4w2-2w+13
4w2-2w+13
4w2-2w+13
Divide (12w^4-6w^3+w^2)/(3w^2)