# Simplify (4t)/(2t^2+t-36)+3/(16-4t)-8/(2t+9)

Simplify each term.
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, .
Factor out of .
Factor out of .
Factor out of .
Factor out of .
Simplify with factoring out.
Rewrite as .
Factor out of .
Factor out of .
Simplify the expression.
Move a negative from the denominator of to the numerator.
Reorder terms.
To write as a fraction with a common denominator, multiply by .
To write as a fraction with a common denominator, multiply by .
Write each expression with a common denominator of , by multiplying each by an appropriate factor of .
Multiply and .
Multiply and .
Reorder the factors of .
Reorder the factors of .
Combine into one fraction.
Combine the numerators over the common denominator.
Multiply by .
Simplify the numerator.
Multiply by .
Apply the distributive property.
Multiply by .
Multiply by .
Subtract from .
To write as a fraction with a common denominator, multiply by .
Write each expression with a common denominator of , by multiplying each by an appropriate factor of .
Multiply and .
Reorder the factors of .
Combine the numerators over the common denominator.
Simplify the numerator.
Apply the distributive property.
Multiply by .
Apply the distributive property.
Multiply by .
Multiply by .
Subtract from .