Exploring Adding and Subtracting Rational Expressions

An expression that only includes rational numbers

A polynomial that includes a variable in the denominator

A fraction where either numerator or denominator includes a polynomial

A fraction where both numerator and denominator are integers

Apply the quotient rule

Factor the numerator and the denominator

Combine like terms

Simplify the coefficients

y/4y^2

1/4 y^2

3y/12y^2

4/12 y^3

Factoring out the greatest common factor

Quotient rule

None of the above

Applying the power rule

Undefined

1/3

3

n + 6

Applying the quotient rule

Using the difference of squares method

Simplifying coefficients

Factoring out a common binomial

K^2 - 9K + 2

K + 9 and K - 2

K - 9 and K + 2

K^2 + 9K - 2

4M over M + 1

M - 5 over M + 1

4 over M - 5

M + 1 over 4M

No further steps required

Reduce 8/10 to 4/5

Multiply numerator by 10

Divide by X in the numerator

Y - 4 over Y + 1

5Y - 2 over 10

None of the above

Y + 4 over Y - 1