Evaluate Using Summation Formulas sum from k=1 to 20 of 30-k^2

Math
Split the summation into smaller summations that fit the summation rules.
Evaluate .
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The formula for the summation of a constant is:
Substitute the values into the formula and make sure to multiply by the front term.
Simplify.
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Remove parentheses.
Multiply by .
Evaluate .
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The formula for the summation of a polynomial with degree is:
Substitute the values into the formula and make sure to multiply by the front term.
Simplify.
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Simplify the numerator.
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Add and .
Combine exponents.
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Multiply by .
Multiply by .
Add and .
Simplify the expression.
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Multiply by .
Divide by .
Multiply by .
Add the results of the summations.
Subtract from .
Evaluate Using Summation Formulas sum from k=1 to 20 of 30-k^2

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