Algebra Examples

Multiply (4t+4)/(t-5)*(t^2-t-20)
Step 1
Factor out of .
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Step 1.1
Factor out of .
Step 1.2
Factor out of .
Step 1.3
Factor out of .
Step 2
Multiply by .
Step 3
Factor using the AC method.
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Step 3.1
Consider the form . Find a pair of integers whose product is and whose sum is . In this case, whose product is and whose sum is .
Step 3.2
Write the factored form using these integers.
Step 4
Simplify terms.
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Step 4.1
Cancel the common factor of .
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Step 4.1.1
Cancel the common factor.
Step 4.1.2
Divide by .
Step 4.2
Apply the distributive property.
Step 4.3
Multiply by .
Step 5
Expand using the FOIL Method.
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Step 5.1
Apply the distributive property.
Step 5.2
Apply the distributive property.
Step 5.3
Apply the distributive property.
Step 6
Simplify and combine like terms.
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Step 6.1
Simplify each term.
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Step 6.1.1
Multiply by by adding the exponents.
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Step 6.1.1.1
Move .
Step 6.1.1.2
Multiply by .
Step 6.1.2
Multiply by .
Step 6.1.3
Multiply by .
Step 6.2
Add and .