Factor (16-(z^2)÷5z^4)/(12-(3z)÷4z-1)

Math
16-z2÷5z412-3z÷4z-1
Rewrite the division as a fraction.
16-z25z412-3z÷4z-1
Cancel the common factor of z2 and z4.
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Multiply by 1.
16-z2⋅15z412-3z÷4z-1
Cancel the common factors.
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Factor z2 out of 5z4.
16-z2⋅1z2(5z2)12-3z÷4z-1
Cancel the common factor.
16-z2⋅1z2(5z2)12-3z÷4z-1
Rewrite the expression.
16-15z212-3z÷4z-1
16-15z212-3z÷4z-1
16-15z212-3z÷4z-1
Rewrite the division as a fraction.
16-15z212-3z4z-1
Cancel the common factor of z.
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Cancel the common factor.
16-15z212-3z4z-1
Rewrite the expression.
16-15z212-34-1
16-15z212-34-1
To write 12 as a fraction with a common denominator, multiply by 44.
16-15z212⋅44-34-1
Combine 12 and 44.
16-15z212⋅44-34-1
Combine the numerators over the common denominator.
16-15z212⋅4-34-1
Simplify the numerator.
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Multiply 12 by 4.
16-15z248-34-1
Subtract 3 from 48.
16-15z2454-1
16-15z2454-1
To write -1 as a fraction with a common denominator, multiply by 44.
16-15z2454-1⋅44
Combine -1 and 44.
16-15z2454+-1⋅44
Combine the numerators over the common denominator.
16-15z245-1⋅44
Simplify the numerator.
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Multiply -1 by 4.
16-15z245-44
Subtract 4 from 45.
16-15z2414
16-15z2414
Factor (16-(z^2)÷5z^4)/(12-(3z)÷4z-1)

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