# Subtract (3y)/(y^2-7y+10)-(2y)/(y^2-8y+15) Simplify each term.
Factor using the AC method.
Consider the form . Find a pair of integers whose product is and whose sum is . In this case, whose product is and whose sum is .
Write the factored form using these integers.
Factor using the AC method.
Consider the form . Find a pair of integers whose product is and whose sum is . In this case, whose product is and whose sum is .
Write the factored form using these integers.
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 the numerators over the common denominator.
Simplify the numerator.
Factor out of .
Factor out of .
Factor out of .
Factor out of .
Apply the distributive property.
Multiply by .
Apply the distributive property.
Multiply by .
Subtract from .
Cancel the common factor of .
Cancel the common factor.
Rewrite the expression.
Subtract (3y)/(y^2-7y+10)-(2y)/(y^2-8y+15)   ## Download our App from the store

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