Simplifying Rational Expressions with Restrictions

Simplify the rational expression.

9 - x

---------

x² - 81

• 1

  -------

  x + 9

• -1

  -------

  x + 9

• x + 9

• -1

  -------

  x - 9

What are the domain restrictions of the following rational expression:

• x ≠ 4

• x ≠ -4, 4

• x ≠ -16, 16

• x ≠ 0, 4

Simplify. 

• (m+6)/(m-3)
• 7/(m-3)
• 7(m+6)
• (m-3)

Simplify. 

• (x+6)/(x+4)
• (x+6)(x+4)
• (x+6)
• (x+6)/(x-5)

SIMPLIFY

• A
• B
• C
• D

SIMPLIFY

• A
• B
• C
• D

Simplify
     15x²/5x³

• 3x
• 3/x
• x/3
• 5/x

Simplify.

• 1/(n-7)
• n-7
• (n-6)/(n-7)
• n-6

Simplify. 

• (x+6)/(x+4)
• (x+6)(x+4)
• (x+6)
• (x+6)/(x-5)

(x² + 9x + 14) / (x² - 4)

• (9x + 14) / -2
• X + 7 / -1
• (x + 7) / (x - 2)