# Simplify (14z^6-6z^4)/(2z^3)

14z6-6z42z3
Simplify terms.
Factor 2z4 out of 14z6-6z4.
Factor 2z4 out of 14z6.
2z4(7z2)-6z42z3
Factor 2z4 out of -6z4.
2z4(7z2)+2z4(-3)2z3
Factor 2z4 out of 2z4(7z2)+2z4(-3).
2z4(7z2-3)2z3
2z4(7z2-3)2z3
Cancel the common factor of 2.
Cancel the common factor.
2z4(7z2-3)2z3
Rewrite the expression.
z4(7z2-3)z3
z4(7z2-3)z3
Cancel the common factor of z4 and z3.
Factor z3 out of z4(7z2-3).
z3(z(7z2-3))z3
Cancel the common factors.
Multiply by 1.
z3(z(7z2-3))z3⋅1
Cancel the common factor.
z3(z(7z2-3))z3⋅1
Rewrite the expression.
z(7z2-3)1
Divide z(7z2-3) by 1.
z(7z2-3)
z(7z2-3)
z(7z2-3)
Apply the distributive property.
z(7z2)+z⋅-3
Reorder.
Rewrite using the commutative property of multiplication.
7z⋅z2+z⋅-3
Move -3 to the left of z.
7z⋅z2-3⋅z
7z⋅z2-3⋅z
7z⋅z2-3⋅z
Multiply z by z2 by adding the exponents.
Move z2.
7(z2z)-3⋅z
Multiply z2 by z.
Raise z to the power of 1.
7(z2z1)-3⋅z
Use the power rule aman=am+n to combine exponents.
7z2+1-3⋅z
7z2+1-3⋅z
7z3-3⋅z
7z3-3z
Simplify (14z^6-6z^4)/(2z^3)

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