# Rational expressions

**Question description**

State any restrictions on the variables.

__3y² - 3y__y + 1

Simplify. Be sure to state the restrictions on the variables

__u² - 4__(u – 6)(u – 2)

Multiply.

__5a³__times__2ab__ab 35

Multiply.

__(a – 4)(a + 3)__times__2a²__a² - 4a (a + 3)(a – 1)

Divide and Simplify

__3x³__divided by__x__4y 9y

Simplify completely

__4x -12__times__x + 3__times__16__x² - 9 5x² - 25x x² - 25

Find the least common denominator of the two rational expressions

__4k__+__2__k² - 9 3 – k

Subtract and simplify

__4x + 1__-__3x – 4__X – 5 x- 5

Subtract and simplify

__3g – 1__-__1- g__9 6

Add the rational expressions

__3x – 4__divided by__x__(x- 3)(x + 2) x + 2

Subtract and simplify

__4y__-__1__y² - 10y + 21 y – 7

Simplify

__x² + 3x + 2__x + 2

Find the lowest common denominator of the fractions and simplify. Assume that no denominator equals zero.

__5__-__4__3x²y 6xy³

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