Basic Math Examples

Multiply ( square root of 85- square root of 65)( square root of 85+ square root of 65)
Step 1
Expand using the FOIL Method.
Tap for more steps...
Step 1.1
Apply the distributive property.
Step 1.2
Apply the distributive property.
Step 1.3
Apply the distributive property.
Step 2
Simplify and combine like terms.
Tap for more steps...
Step 2.1
Simplify each term.
Tap for more steps...
Step 2.1.1
Combine using the product rule for radicals.
Step 2.1.2
Multiply by .
Step 2.1.3
Rewrite as .
Step 2.1.4
Pull terms out from under the radical, assuming positive real numbers.
Step 2.1.5
Combine using the product rule for radicals.
Step 2.1.6
Multiply by .
Step 2.1.7
Rewrite as .
Tap for more steps...
Step 2.1.7.1
Factor out of .
Step 2.1.7.2
Rewrite as .
Step 2.1.8
Pull terms out from under the radical.
Step 2.1.9
Multiply .
Tap for more steps...
Step 2.1.9.1
Combine using the product rule for radicals.
Step 2.1.9.2
Multiply by .
Step 2.1.10
Rewrite as .
Tap for more steps...
Step 2.1.10.1
Factor out of .
Step 2.1.10.2
Rewrite as .
Step 2.1.11
Pull terms out from under the radical.
Step 2.1.12
Multiply by .
Step 2.1.13
Multiply .
Tap for more steps...
Step 2.1.13.1
Raise to the power of .
Step 2.1.13.2
Raise to the power of .
Step 2.1.13.3
Use the power rule to combine exponents.
Step 2.1.13.4
Add and .
Step 2.1.14
Rewrite as .
Tap for more steps...
Step 2.1.14.1
Use to rewrite as .
Step 2.1.14.2
Apply the power rule and multiply exponents, .
Step 2.1.14.3
Combine and .
Step 2.1.14.4
Cancel the common factor of .
Tap for more steps...
Step 2.1.14.4.1
Cancel the common factor.
Step 2.1.14.4.2
Rewrite the expression.
Step 2.1.14.5
Evaluate the exponent.
Step 2.1.15
Multiply by .
Step 2.2
Subtract from .
Step 2.3
Subtract from .
Step 2.4
Add and .