Simplify (3z^2-24z)/(3z^2*(12z))

Math
3z2-24z3z2⋅(12z)
Multiply z2 by z by adding the exponents.
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Move z.
3z2-24z3(z⋅z2)⋅12
Multiply z by z2.
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Raise z to the power of 1.
3z2-24z3(z1z2)⋅12
Use the power rule aman=am+n to combine exponents.
3z2-24z3z1+2⋅12
3z2-24z3z1+2⋅12
Add 1 and 2.
3z2-24z3z3⋅12
3z2-24z3z3⋅12
Factor 3z out of 3z2-24z.
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Factor 3z out of 3z2.
3z(z)-24z3z3⋅12
Factor 3z out of -24z.
3z(z)+3z(-8)3z3⋅12
Factor 3z out of 3z(z)+3z(-8).
3z(z-8)3z3⋅12
3z(z-8)3z3⋅12
Multiply 12 by 3.
3z(z-8)36z3
Cancel the common factor of 3 and 36.
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Factor 3 out of 3z(z-8).
3(z(z-8))36z3
Cancel the common factors.
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Factor 3 out of 36z3.
3(z(z-8))3(12z3)
Cancel the common factor.
3(z(z-8))3(12z3)
Rewrite the expression.
z(z-8)12z3
z(z-8)12z3
z(z-8)12z3
Cancel the common factors.
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Factor z out of 12z3.
z(z-8)z(12z2)
Cancel the common factor.
z(z-8)z(12z2)
Rewrite the expression.
z-812z2
z-812z2
Simplify (3z^2-24z)/(3z^2*(12z))

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