Rose Harrison, Clara Huizink, Aidan Sproat Clements and, Marlene Torres Skoumal Solutions for Exercise 3: Exploration 1

Simplify the following rational expression to the simplest form.

$\frac{(a+b)(c-d)(e+f)(g-h)}{(a+b)(e+f)(g+h)}$.

State the one value that you are not allowed to have in the denominator of a fraction. Explain why?

For the following rational expression, explain the steps needed to simplify it to the given expression.

$\frac{x^2-9}{x-3}=x+3$.

For the following rational expression, explain the steps needed to simplify it to the given expression.

$\frac{x^2-9}{x+3}=x-3$.

For the following rational expression, explain the steps needed to simplify it to the given expression.

$\frac{x^2+3x}{x+3}=x$.

Simplify the given rational expression. State any value that $x$ cannot take.

$\frac{x^2-9}{x-3}$.

Simplify the given rational expression. State any value that $x$ cannot take.

$\frac{x^2-9}{x+3}$.

Simplify the given rational expression. State any value that $x$ cannot take.

$\frac{x^2+3x}{x+3}$.