Finite Math Examples

Expand Using the Binomial Theorem (7x-4y)^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 .
Step 4.2
Apply the product rule to .
Step 4.3
Raise to the power of .
Step 4.4
Apply the product rule to .
Step 4.5
Rewrite using the commutative property of multiplication.
Step 4.6
Anything raised to is .
Step 4.7
Multiply by .
Step 4.8
Anything raised to is .
Step 4.9
Multiply by .
Step 4.10
Simplify.
Step 4.11
Multiply by .
Step 4.12
Simplify.
Step 4.13
Rewrite using the commutative property of multiplication.
Step 4.14
Multiply by .
Step 4.15
Multiply by .
Step 4.16
Apply the product rule to .
Step 4.17
Anything raised to is .
Step 4.18
Multiply by .
Step 4.19
Anything raised to is .
Step 4.20
Multiply by .
Step 4.21
Apply the product rule to .
Step 4.22
Raise to the power of .