Basic Math Examples

Factor (3a-1)^3-(2a-3)^2
Step 1
Use the Binomial Theorem.
Step 2
Simplify each term.
Tap for more steps...
Step 2.1
Apply the product rule to .
Step 2.2
Raise to the power of .
Step 2.3
Apply the product rule to .
Step 2.4
Multiply by by adding the exponents.
Tap for more steps...
Step 2.4.1
Move .
Step 2.4.2
Multiply by .
Tap for more steps...
Step 2.4.2.1
Raise to the power of .
Step 2.4.2.2
Use the power rule to combine exponents.
Step 2.4.3
Add and .
Step 2.5
Raise to the power of .
Step 2.6
Multiply by .
Step 2.7
Multiply by .
Step 2.8
Raise to the power of .
Step 2.9
Multiply by .
Step 2.10
Raise to the power of .
Step 3
Rewrite as .
Step 4
Expand using the FOIL Method.
Tap for more steps...
Step 4.1
Apply the distributive property.
Step 4.2
Apply the distributive property.
Step 4.3
Apply the distributive property.
Step 5
Simplify and combine like terms.
Tap for more steps...
Step 5.1
Simplify each term.
Tap for more steps...
Step 5.1.1
Rewrite using the commutative property of multiplication.
Step 5.1.2
Multiply by by adding the exponents.
Tap for more steps...
Step 5.1.2.1
Move .
Step 5.1.2.2
Multiply by .
Step 5.1.3
Multiply by .
Step 5.1.4
Multiply by .
Step 5.1.5
Multiply by .
Step 5.1.6
Multiply by .
Step 5.2
Subtract from .
Step 6
Apply the distributive property.
Step 7
Simplify.
Tap for more steps...
Step 7.1
Multiply by .
Step 7.2
Multiply by .
Step 7.3
Multiply by .
Step 8
Subtract from .
Step 9
Add and .
Step 10
Subtract from .