Simplifying, Dividing, Multiplying Rational Functions

Factor and cancel out in order to simplify. Label it a/b - c/d multiply a with d and b with c and all over b times d (in your notes)

• A

• B

• C

• D

Factor out, cancel out, and write remaining terms.

• A

• B

• C

• D

Simplify

• (x-9)/(x+9)

• 1/(x-9)

• (x+9)

• 1/(x+9)

Simplify (look for common factors that you can factor out and cancel out)

• A.4x³/(x+2)

• B.4x³/(x+10)

• C.2x³/(5x+1)

• D. 2x³/(x+5)

• 1 / 5p

• 12 / 50p

• 2 / 10p

• 8 / 16p

• 10 / 14a⁴

• 21 / 49a⁴

• 3 / a⁴

• 3 / 7a⁴

Alison has factored the numerators and denominators and multiplied across.  She must be…

• Adding or Subtracting Rational Expressions

• Multiplying Rational Expressions

• Dividing Rational Expressions

Julie has factored the numerators and denominators and multiplied by the reciprocal (keep it, flip it, multiply it).  She must be…

• Adding or Subtracting Rational Expressions

• Multiplying Rational Expressions

• Dividing Rational Expressions

Simplify the expression

• 6x / 20xy

• 3 / 10y

• (6x+1) / (20xy)

• 3 / 20xy

Simplify the expression

• (5x + 4y) / 9y

• (6y + 3x) / 3y

• (2y + x) / y

• (6y + 3x) / 9y