Pre-Algebra Examples

Divide (-16z^3+137z^2-72z)÷(z-8)
Step 1
Rewrite the division as a fraction.
Step 2
Simplify the numerator.
Tap for more steps...
Step 2.1
Factor out of .
Tap for more steps...
Step 2.1.1
Factor out of .
Step 2.1.2
Factor out of .
Step 2.1.3
Factor out of .
Step 2.1.4
Factor out of .
Step 2.1.5
Factor out of .
Step 2.2
Factor by grouping.
Tap for more steps...
Step 2.2.1
For a polynomial of the form , rewrite the middle term as a sum of two terms whose product is and whose sum is .
Tap for more steps...
Step 2.2.1.1
Factor out of .
Step 2.2.1.2
Rewrite as plus
Step 2.2.1.3
Apply the distributive property.
Step 2.2.2
Factor out the greatest common factor from each group.
Tap for more steps...
Step 2.2.2.1
Group the first two terms and the last two terms.
Step 2.2.2.2
Factor out the greatest common factor (GCF) from each group.
Step 2.2.3
Factor the polynomial by factoring out the greatest common factor, .
Step 3
Cancel the common factor of .
Tap for more steps...
Step 3.1
Cancel the common factor.
Step 3.2
Divide by .
Step 4
Apply the distributive property.
Step 5
Rewrite using the commutative property of multiplication.
Step 6
Move to the left of .
Step 7
Multiply by by adding the exponents.
Tap for more steps...
Step 7.1
Move .
Step 7.2
Multiply by .