Enter a problem...
Calculus Examples
Step 1
Step 1.1
Rewrite as .
Step 1.2
Expand using the FOIL Method.
Step 1.2.1
Apply the distributive property.
Step 1.2.2
Apply the distributive property.
Step 1.2.3
Apply the distributive property.
Step 1.3
Simplify and combine like terms.
Step 1.3.1
Simplify each term.
Step 1.3.1.1
Multiply by .
Step 1.3.1.2
Move to the left of .
Step 1.3.1.3
Rewrite as .
Step 1.3.1.4
Rewrite as .
Step 1.3.1.5
Multiply by .
Step 1.3.2
Subtract from .
Step 1.4
Rewrite the summation.
Step 2
Split the summation into smaller summations that fit the summation rules.
Step 3
Step 3.1
The formula for the summation of a polynomial with degree is:
Step 3.2
Substitute the values into the formula.
Step 3.3
Simplify.
Step 3.3.1
Cancel the common factor of and .
Step 3.3.1.1
Factor out of .
Step 3.3.1.2
Cancel the common factors.
Step 3.3.1.2.1
Factor out of .
Step 3.3.1.2.2
Cancel the common factor.
Step 3.3.1.2.3
Rewrite the expression.
Step 3.3.2
Simplify the numerator.
Step 3.3.2.1
Multiply by .
Step 3.3.2.2
Add and .
Step 3.3.2.3
Multiply by .
Step 3.3.2.4
Add and .
Step 3.3.3
Simplify the expression.
Step 3.3.3.1
Multiply by .
Step 3.3.3.2
Divide by .
Step 4
Step 4.1
The formula for the summation of a polynomial with degree is:
Step 4.2
Substitute the values into the formula and make sure to multiply by the front term.
Step 4.3
Simplify.
Step 4.3.1
Simplify the expression.
Step 4.3.1.1
Add and .
Step 4.3.1.2
Multiply by .
Step 4.3.2
Cancel the common factor of .
Step 4.3.2.1
Factor out of .
Step 4.3.2.2
Cancel the common factor.
Step 4.3.2.3
Rewrite the expression.
Step 4.3.3
Multiply by .
Step 5
Step 5.1
The formula for the summation of a constant is:
Step 5.2
Substitute the values into the formula.
Step 5.3
Multiply by .
Step 6
Add the results of the summations.
Step 7
Step 7.1
Subtract from .
Step 7.2
Add and .