Finite Math Examples

Simplify (2t^4-5t^3)(7t^3-4t^2)
Step 1
Expand using the FOIL Method.
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Step 1.1
Apply the distributive property.
Step 1.2
Apply the distributive property.
Step 1.3
Apply the distributive property.
Step 2
Simplify and combine like terms.
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Step 2.1
Simplify each term.
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Step 2.1.1
Rewrite using the commutative property of multiplication.
Step 2.1.2
Multiply by by adding the exponents.
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Step 2.1.2.1
Move .
Step 2.1.2.2
Use the power rule to combine exponents.
Step 2.1.2.3
Add and .
Step 2.1.3
Multiply by .
Step 2.1.4
Rewrite using the commutative property of multiplication.
Step 2.1.5
Multiply by by adding the exponents.
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Step 2.1.5.1
Move .
Step 2.1.5.2
Use the power rule to combine exponents.
Step 2.1.5.3
Add and .
Step 2.1.6
Multiply by .
Step 2.1.7
Rewrite using the commutative property of multiplication.
Step 2.1.8
Multiply by by adding the exponents.
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Step 2.1.8.1
Move .
Step 2.1.8.2
Use the power rule to combine exponents.
Step 2.1.8.3
Add and .
Step 2.1.9
Multiply by .
Step 2.1.10
Rewrite using the commutative property of multiplication.
Step 2.1.11
Multiply by by adding the exponents.
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Step 2.1.11.1
Move .
Step 2.1.11.2
Use the power rule to combine exponents.
Step 2.1.11.3
Add and .
Step 2.1.12
Multiply by .
Step 2.2
Subtract from .