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

Math
Simplify each term.
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Factor by grouping.
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For a polynomial of the form , rewrite the middle term as a sum of two terms whose product is and whose sum is .
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Multiply by .
Rewrite as plus
Apply the distributive property.
Factor out the greatest common factor from each group.
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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 .
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Factor out of .
Factor out of .
Factor out of .
Simplify with factoring out.
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Rewrite as .
Factor out of .
Factor out of .
Simplify the expression.
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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 .
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Multiply and .
Multiply and .
Reorder the factors of .
Reorder the factors of .
Combine into one fraction.
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Combine the numerators over the common denominator.
Multiply by .
Simplify the numerator.
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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 .
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Multiply and .
Reorder the factors of .
Combine the numerators over the common denominator.
Simplify the numerator.
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Apply the distributive property.
Multiply by .
Apply the distributive property.
Multiply by .
Multiply by .
Subtract from .
Add and .
Simplify with factoring out.
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Factor out of .
Rewrite as .
Factor out of .
Simplify the expression.
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Rewrite as .
Move the negative in front of the fraction.
Simplify (4t)/(2t^2+t-36)+3/(16-4t)-8/(2t+9)
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