Linear Algebra Examples

Subtract (f+3)/(7f)-(3f)/(f+4)
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
Multiply by .
Step 5.2.2
Add and .
Step 5.3
Rewrite using the commutative property of multiplication.
Step 5.4
Multiply by by adding the exponents.
Tap for more steps...
Step 5.4.1
Move .
Step 5.4.2
Multiply by .
Step 5.5
Multiply by .
Step 5.6
Subtract from .
Step 6
Simplify with factoring out.
Tap for more steps...
Step 6.1
Factor out of .
Step 6.2
Factor out of .
Step 6.3
Factor out of .
Step 6.4
Rewrite as .
Step 6.5
Factor out of .
Step 6.6
Simplify the expression.
Tap for more steps...
Step 6.6.1
Rewrite as .
Step 6.6.2
Move the negative in front of the fraction.