Algebra Examples

Expand Using the Binomial Theorem (x-2y)^3
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 .
Step 4.2
Apply the product rule to .
Step 4.3
Rewrite using the commutative property of multiplication.
Step 4.4
Anything raised to is .
Step 4.5
Multiply by .
Step 4.6
Anything raised to is .
Step 4.7
Multiply by .
Step 4.8
Simplify.
Step 4.9
Rewrite using the commutative property of multiplication.
Step 4.10
Multiply by .
Step 4.11
Simplify.
Step 4.12
Apply the product rule to .
Step 4.13
Rewrite using the commutative property of multiplication.
Step 4.14
Raise to the power of .
Step 4.15
Multiply by .
Step 4.16
Multiply by .
Step 4.17
Anything raised to is .
Step 4.18
Multiply by .
Step 4.19
Apply the product rule to .
Step 4.20
Raise to the power of .