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Basic Math Examples
Step 1
Step 1.1
Multiply by .
Step 1.2
Multiply by .
Step 1.3
Multiply by .
Step 1.4
Multiply by .
Step 1.5
Multiply by .
Step 1.6
Multiply by .
Step 1.7
Reorder the factors of .
Step 1.8
Reorder the factors of .
Step 1.9
Reorder the factors of .
Step 2
Step 2.1
Combine the numerators over the common denominator.
Step 2.2
Simplify each term.
Step 2.2.1
Expand using the FOIL Method.
Step 2.2.1.1
Apply the distributive property.
Step 2.2.1.2
Apply the distributive property.
Step 2.2.1.3
Apply the distributive property.
Step 2.2.2
Simplify and combine like terms.
Step 2.2.2.1
Simplify each term.
Step 2.2.2.1.1
Move to the left of .
Step 2.2.2.1.2
Multiply .
Step 2.2.2.1.2.1
Raise to the power of .
Step 2.2.2.1.2.2
Raise to the power of .
Step 2.2.2.1.2.3
Use the power rule to combine exponents.
Step 2.2.2.1.2.4
Add and .
Step 2.2.2.1.3
Rewrite as .
Step 2.2.2.1.3.1
Use to rewrite as .
Step 2.2.2.1.3.2
Apply the power rule and multiply exponents, .
Step 2.2.2.1.3.3
Combine and .
Step 2.2.2.1.3.4
Cancel the common factor of .
Step 2.2.2.1.3.4.1
Cancel the common factor.
Step 2.2.2.1.3.4.2
Rewrite the expression.
Step 2.2.2.1.3.5
Evaluate the exponent.
Step 2.2.2.1.4
Multiply by .
Step 2.2.2.1.5
Multiply by .
Step 2.2.2.1.6
Multiply by .
Step 2.2.2.2
Add and .
Step 2.2.2.3
Subtract from .
Step 2.2.3
Apply the distributive property.
Step 2.2.4
Multiply by .
Step 2.2.5
Multiply by .
Step 2.2.6
Expand using the FOIL Method.
Step 2.2.6.1
Apply the distributive property.
Step 2.2.6.2
Apply the distributive property.
Step 2.2.6.3
Apply the distributive property.
Step 2.2.7
Simplify and combine like terms.
Step 2.2.7.1
Simplify each term.
Step 2.2.7.1.1
Move to the left of .
Step 2.2.7.1.2
Multiply .
Step 2.2.7.1.2.1
Raise to the power of .
Step 2.2.7.1.2.2
Raise to the power of .
Step 2.2.7.1.2.3
Use the power rule to combine exponents.
Step 2.2.7.1.2.4
Add and .
Step 2.2.7.1.3
Rewrite as .
Step 2.2.7.1.3.1
Use to rewrite as .
Step 2.2.7.1.3.2
Apply the power rule and multiply exponents, .
Step 2.2.7.1.3.3
Combine and .
Step 2.2.7.1.3.4
Cancel the common factor of .
Step 2.2.7.1.3.4.1
Cancel the common factor.
Step 2.2.7.1.3.4.2
Rewrite the expression.
Step 2.2.7.1.3.5
Evaluate the exponent.
Step 2.2.7.1.4
Multiply by .
Step 2.2.7.1.5
Multiply by .
Step 2.2.7.1.6
Multiply .
Step 2.2.7.1.6.1
Multiply by .
Step 2.2.7.1.6.2
Multiply by .
Step 2.2.7.2
Add and .
Step 2.2.7.3
Subtract from .
Step 2.2.8
Apply the distributive property.
Step 2.2.9
Multiply by .
Step 2.2.10
Multiply by .
Step 2.2.11
Expand using the FOIL Method.
Step 2.2.11.1
Apply the distributive property.
Step 2.2.11.2
Apply the distributive property.
Step 2.2.11.3
Apply the distributive property.
Step 2.2.12
Simplify and combine like terms.
Step 2.2.12.1
Simplify each term.
Step 2.2.12.1.1
Combine using the product rule for radicals.
Step 2.2.12.1.2
Multiply by .
Step 2.2.12.1.3
Rewrite as .
Step 2.2.12.1.4
Pull terms out from under the radical, assuming positive real numbers.
Step 2.2.12.1.5
Move to the left of .
Step 2.2.12.1.6
Rewrite as .
Step 2.2.12.1.7
Multiply by .
Step 2.2.12.2
Add and .
Step 2.2.12.3
Subtract from .
Step 2.2.13
Apply the distributive property.
Step 2.2.14
Multiply by .
Step 2.2.15
Multiply by .
Step 2.3
Simplify by adding terms.
Step 2.3.1
Subtract from .
Step 2.3.2
Subtract from .
Step 2.3.3
Add and .
Step 2.3.4
Add and .
Step 3
Step 3.1
Apply the distributive property.
Step 3.2
Apply the distributive property.
Step 3.3
Apply the distributive property.
Step 4
Step 4.1
Simplify each term.
Step 4.1.1
Multiply by .
Step 4.1.2
Multiply .
Step 4.1.2.1
Raise to the power of .
Step 4.1.2.2
Raise to the power of .
Step 4.1.2.3
Use the power rule to combine exponents.
Step 4.1.2.4
Add and .
Step 4.1.3
Rewrite as .
Step 4.1.3.1
Use to rewrite as .
Step 4.1.3.2
Apply the power rule and multiply exponents, .
Step 4.1.3.3
Combine and .
Step 4.1.3.4
Cancel the common factor of .
Step 4.1.3.4.1
Cancel the common factor.
Step 4.1.3.4.2
Rewrite the expression.
Step 4.1.3.5
Evaluate the exponent.
Step 4.1.4
Multiply by .
Step 4.1.5
Multiply .
Step 4.1.5.1
Multiply by .
Step 4.1.5.2
Multiply by .
Step 4.2
Add and .
Step 4.3
Subtract from .
Step 5
Step 5.1
Apply the distributive property.
Step 5.2
Apply the distributive property.
Step 5.3
Apply the distributive property.
Step 6
Step 6.1
Simplify each term.
Step 6.1.1
Multiply by .
Step 6.1.2
Multiply .
Step 6.1.2.1
Raise to the power of .
Step 6.1.2.2
Raise to the power of .
Step 6.1.2.3
Use the power rule to combine exponents.
Step 6.1.2.4
Add and .
Step 6.1.3
Rewrite as .
Step 6.1.3.1
Use to rewrite as .
Step 6.1.3.2
Apply the power rule and multiply exponents, .
Step 6.1.3.3
Combine and .
Step 6.1.3.4
Cancel the common factor of .
Step 6.1.3.4.1
Cancel the common factor.
Step 6.1.3.4.2
Rewrite the expression.
Step 6.1.3.5
Evaluate the exponent.
Step 6.1.4
Multiply by .
Step 6.1.5
Multiply by .
Step 6.2
Subtract from .
Step 6.3
Add and .
Step 7
Multiply by .
Step 8
Step 8.1
Multiply by .
Step 8.2
Expand the denominator using the FOIL method.
Step 8.3
Simplify.
Step 9
Step 9.1
Apply the distributive property.
Step 9.2
Apply the distributive property.
Step 9.3
Apply the distributive property.
Step 10
Step 10.1
Simplify each term.
Step 10.1.1
Multiply by .
Step 10.1.2
Multiply by .
Step 10.1.3
Multiply by .
Step 10.1.4
Multiply .
Step 10.1.4.1
Multiply by .
Step 10.1.4.2
Raise to the power of .
Step 10.1.4.3
Raise to the power of .
Step 10.1.4.4
Use the power rule to combine exponents.
Step 10.1.4.5
Add and .
Step 10.1.5
Rewrite as .
Step 10.1.5.1
Use to rewrite as .
Step 10.1.5.2
Apply the power rule and multiply exponents, .
Step 10.1.5.3
Combine and .
Step 10.1.5.4
Cancel the common factor of .
Step 10.1.5.4.1
Cancel the common factor.
Step 10.1.5.4.2
Rewrite the expression.
Step 10.1.5.5
Evaluate the exponent.
Step 10.1.6
Multiply by .
Step 10.2
Add and .
Step 10.3
Add and .
Step 11
Step 11.1
Factor out of .
Step 11.2
Factor out of .
Step 11.3
Factor out of .
Step 11.4
Cancel the common factors.
Step 11.4.1
Factor out of .
Step 11.4.2
Cancel the common factor.
Step 11.4.3
Rewrite the expression.
Step 11.4.4
Divide by .
Step 12
Step 12.1
Apply the distributive property.
Step 12.2
Apply the distributive property.
Step 12.3
Apply the distributive property.
Step 13
Step 13.1
Simplify each term.
Step 13.1.1
Multiply by .
Step 13.1.2
Combine using the product rule for radicals.
Step 13.1.3
Multiply by .
Step 13.1.4
Rewrite as .
Step 13.1.5
Pull terms out from under the radical, assuming positive real numbers.
Step 13.1.6
Move to the left of .
Step 13.2
Add and .
Step 13.3
Add and .
Step 14
The result can be shown in multiple forms.
Exact Form:
Decimal Form: