Basic Math Examples

Simplify (w+10)/(w+1)+(w-7)/(w-1)
Step 1
To write as a fraction with a common denominator, multiply by .
Step 2
To write as a fraction with a common denominator, multiply by .
Step 3
Write each expression with a common denominator of , by multiplying each by an appropriate factor of .
Tap for more steps...
Step 3.1
Multiply by .
Step 3.2
Multiply by .
Step 3.3
Reorder the factors of .
Step 4
Combine the numerators over the common denominator.
Step 5
Simplify the numerator.
Tap for more steps...
Step 5.1
Expand using the FOIL Method.
Tap for more steps...
Step 5.1.1
Apply the distributive property.
Step 5.1.2
Apply the distributive property.
Step 5.1.3
Apply the distributive property.
Step 5.2
Simplify and combine like terms.
Tap for more steps...
Step 5.2.1
Simplify each term.
Tap for more steps...
Step 5.2.1.1
Multiply by .
Step 5.2.1.2
Move to the left of .
Step 5.2.1.3
Rewrite as .
Step 5.2.1.4
Multiply by .
Step 5.2.2
Add and .
Step 5.3
Expand using the FOIL Method.
Tap for more steps...
Step 5.3.1
Apply the distributive property.
Step 5.3.2
Apply the distributive property.
Step 5.3.3
Apply the distributive property.
Step 5.4
Simplify and combine like terms.
Tap for more steps...
Step 5.4.1
Simplify each term.
Tap for more steps...
Step 5.4.1.1
Multiply by .
Step 5.4.1.2
Multiply by .
Step 5.4.1.3
Multiply by .
Step 5.4.2
Subtract from .
Step 5.5
Add and .
Step 5.6
Subtract from .
Step 5.7
Subtract from .