Algebra Examples

Expand Using the Binomial Theorem (x+1)^2
Step 1
Use the binomial expansion theorem to find each term. The binomial theorem states .
Step 2
Expand the summation.
Step 3
Simplify the exponents for each term of the expansion.
Step 4
Simplify each term.
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Step 4.1
Multiply by by adding the exponents.
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Step 4.1.1
Move .
Step 4.1.2
Multiply by .
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Step 4.1.2.1
Raise to the power of .
Step 4.1.2.2
Use the power rule to combine exponents.
Step 4.1.3
Add and .
Step 4.2
Simplify .
Step 4.3
Simplify.
Step 4.4
Evaluate the exponent.
Step 4.5
Multiply by .
Step 4.6
Multiply by by adding the exponents.
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Step 4.6.1
Move .
Step 4.6.2
Multiply by .
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Step 4.6.2.1
Raise to the power of .
Step 4.6.2.2
Use the power rule to combine exponents.
Step 4.6.3
Add and .
Step 4.7
Simplify .
Step 4.8
One to any power is one.