# Divide (27x^5+9x^4-18x^3)÷9x^2 Rewrite the division as a fraction.
Simplify the numerator.
Factor out of .
Factor out of .
Factor out of .
Factor out of .
Factor out of .
Factor out of .
Factor by grouping.
For a polynomial of the form , rewrite the middle term as a sum of two terms whose product is and whose sum is .
Multiply by .
Rewrite as plus
Apply the distributive property.
Factor out the greatest common factor from each group.
Group the first two terms and the last two terms.
Factor out the greatest common factor (GCF) from each group.
Factor the polynomial by factoring out the greatest common factor, .
Cancel the common factor of .
Cancel the common factor.
Rewrite the expression.
Cancel the common factor of and .
Factor out of .
Cancel the common factors.
Multiply by .
Cancel the common factor.
Rewrite the expression.
Divide by .
Apply the distributive property.
Rewrite using the commutative property of multiplication.
Move to the left of .
Multiply by by adding the exponents.
Move .
Multiply by .
Expand using the FOIL Method.
Apply the distributive property.
Apply the distributive property.
Apply the distributive property.
Simplify and combine like terms.
Simplify each term.
Multiply by by adding the exponents.
Move .
Multiply by .
Raise to the power of .
Use the power rule to combine exponents.
Multiply by .
Multiply by by adding the exponents.
Move .
Multiply by .
Multiply by .
Subtract from .
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