Finite Math Examples

Find the Product R(x)=-x^2+8x , C(x)=3x+4
,
Step 1
Replace the function designators with the actual functions in .
Step 2
Simplify.
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Step 2.1
Expand using the FOIL Method.
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Step 2.1.1
Apply the distributive property.
Step 2.1.2
Apply the distributive property.
Step 2.1.3
Apply the distributive property.
Step 2.2
Simplify and combine like terms.
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Step 2.2.1
Simplify each term.
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Step 2.2.1.1
Rewrite using the commutative property of multiplication.
Step 2.2.1.2
Multiply by by adding the exponents.
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Step 2.2.1.2.1
Move .
Step 2.2.1.2.2
Multiply by .
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Step 2.2.1.2.2.1
Raise to the power of .
Step 2.2.1.2.2.2
Use the power rule to combine exponents.
Step 2.2.1.2.3
Add and .
Step 2.2.1.3
Multiply by .
Step 2.2.1.4
Multiply by .
Step 2.2.1.5
Rewrite using the commutative property of multiplication.
Step 2.2.1.6
Multiply by by adding the exponents.
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Step 2.2.1.6.1
Move .
Step 2.2.1.6.2
Multiply by .
Step 2.2.1.7
Multiply by .
Step 2.2.1.8
Multiply by .
Step 2.2.2
Add and .