Basic Math Examples

Simplify ((y^4-8y^3+5y^2-40y)/(7y^3+56y^2+2y+16))÷((y^3-2y^2+5y-10)/(7y^3-14y^2+2y-4))
Step 1
To divide by a fraction, multiply by its reciprocal.
Step 2
Simplify the numerator.
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Step 2.1
Factor out of .
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Step 2.1.1
Factor out of .
Step 2.1.2
Factor out of .
Step 2.1.3
Factor out of .
Step 2.1.4
Factor out of .
Step 2.1.5
Factor out of .
Step 2.1.6
Factor out of .
Step 2.1.7
Factor out of .
Step 2.2
Factor out the greatest common factor from each group.
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Step 2.2.1
Group the first two terms and the last two terms.
Step 2.2.2
Factor out the greatest common factor (GCF) from each group.
Step 2.3
Factor the polynomial by factoring out the greatest common factor, .
Step 3
Simplify the denominator.
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Step 3.1
Factor out the greatest common factor from each group.
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Step 3.1.1
Group the first two terms and the last two terms.
Step 3.1.2
Factor out the greatest common factor (GCF) from each group.
Step 3.2
Factor the polynomial by factoring out the greatest common factor, .
Step 4
Simplify the numerator.
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Step 4.1
Factor out the greatest common factor from each group.
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Step 4.1.1
Group the first two terms and the last two terms.
Step 4.1.2
Factor out the greatest common factor (GCF) from each group.
Step 4.2
Factor the polynomial by factoring out the greatest common factor, .
Step 5
Simplify the denominator.
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Step 5.1
Factor out the greatest common factor from each group.
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Step 5.1.1
Group the first two terms and the last two terms.
Step 5.1.2
Factor out the greatest common factor (GCF) from each group.
Step 5.2
Factor the polynomial by factoring out the greatest common factor, .
Step 6
Simplify terms.
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Step 6.1
Combine.
Step 6.2
Cancel the common factor of .
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Step 6.2.1
Cancel the common factor.
Step 6.2.2
Rewrite the expression.
Step 6.3
Cancel the common factor of .
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Step 6.3.1
Cancel the common factor.
Step 6.3.2
Rewrite the expression.
Step 6.4
Cancel the common factor of .
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Step 6.4.1
Cancel the common factor.
Step 6.4.2
Rewrite the expression.