randVar() 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:

Y = \dfrac{NUMERATOR}{DENOMINATOR}

FACTOR2.regex() FACTOR3.regex() -A
FACTOR2.multiply(-1).regex() FACTOR3.multiply(-1).regex() -A
Y =
a
a
\space X \neq a
a simplifed expression, like x + 2

First factor the expressions in the numerator and denominator.

\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:

Y = \dfrac{FACTOR2}{FACTOR3} or more simply, Y = FACTOR2
Y = \dfrac{FACTOR2}{FACTOR3}

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

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