Basic Math Examples

Simplify ((8b+24)/(3a+12))÷((ab-4b+3a-12)/(a^2-8a+16))
Step 1
To divide by a fraction, multiply by its reciprocal.
Step 2
Simplify with factoring out.
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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 2.2
Factor out of .
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Step 2.2.1
Factor out of .
Step 2.2.2
Factor out of .
Step 2.2.3
Factor out of .
Step 3
Factor using the perfect square rule.
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Step 3.1
Rewrite as .
Step 3.2
Check that the middle term is two times the product of the numbers being squared in the first term and third term.
Step 3.3
Rewrite the polynomial.
Step 3.4
Factor using the perfect square trinomial rule , where and .
Step 4
Simplify the denominator.
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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 terms.
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Step 5.1
Combine.
Step 5.2
Cancel the common factor of .
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Step 5.2.1
Cancel the common factor.
Step 5.2.2
Rewrite the expression.
Step 5.3
Cancel the common factor of and .
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Step 5.3.1
Factor out of .
Step 5.3.2
Cancel the common factors.
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Step 5.3.2.1
Factor out of .
Step 5.3.2.2
Cancel the common factor.
Step 5.3.2.3
Rewrite the expression.