randVar() randRangeNonZero(-10, 10)
randRangeWeighted(-10, 10, 0, 0.5) randRangeWeighted(-10, 10, 0, 0.5)
new RationalExpression([[1, X], A]) new RationalExpression([[1, X], B]) new RationalExpression([[1, X], C]) FACTOR1.multiply(FACTOR2) FACTOR1.multiply(FACTOR3)

Simplify the following expression and state the condition under which the simplification is valid:

\dfrac{NUMERATOR}{DENOMINATOR}

(FACTOR2.toString())/(FACTOR3.toString())
X \neq \space-A

First factor the expressions in the numerator and denominator.

\qquad \dfrac{NUMERATOR}{DENOMINATOR} = \dfrac{(FACTOR2)(FACTOR1)}{(FACTOR3)(FACTOR1)}

Notice that the term (FACTOR1) appears in both the numerator and denominator.

Dividing both the numerator and denominator by (FACTOR1) gives:

\qquad \dfrac{FACTOR2}{FACTOR3} or more simply, \qquad FACTOR2
\qquad \dfrac{FACTOR2}{FACTOR3}

Since we divided by (FACTOR1), X \neq -A.

\qquad writeExpressionFraction(FACTOR2, FACTOR3); \space X \neq -A