Precalculus Examples

Expand Using the Binomial Theorem
Use the binomial expansion theorem to find each term. The binomial theorem states .
Substitute in the actual expressions as well as and .
Simplify the exponents for each term of the expansion.
Simplify the polynomial result.
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Remove parentheses.
Simplify each term.
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Multiply by .
Remove parentheses around .
Anything raised to is .
Multiply by .
Remove parentheses around .
Move to the left of the expression .
Multiply by .
Multiply by .
Multiply by .
Raise to the power of .
Move to the left of the expression .
Multiply by .
Multiply by .
Multiply by .
Multiply by .
Remove parentheses around .
Anything raised to is .
Multiply by .
Raise to the power of .
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