Problem

4. To add and subtract rational expressions with unlike denominators you
the following steps.
Steps in adding or
subtracting rational $\dfrac {6} {x^{2}-4}-\dfrac {2} {x^{2}-5x+6}$
expressions with previous
unlike denominators Write $you7$ $hcrc$ $fon$
1. Factor the $so11$ $+100$
denominator of $cacH$ $\dfrac {6} {\left(x-2\right)\left(x+2\right)}-$ $\dfrac {2} {\left(x-2\right)\left(x-3\right)}$ comparison.
fraction to help find
the $cD$
2. Find the least
common $LCD:\left(x-2\right)\left(x+2\right)\left(x-3\right)$
denominator $\left(LCD\right)$
$3$ Multiply each
expression by its $\dfrac {6\left(LCD\right)} {\left(x-2\right)\left(x+2\right)}$ $\dfrac {2\left(LCD\right)} {\left(x-2\right)\left(x-3\right)}$
LCD
$4$ Write the simplified $6\left(x-3\right)-2\left(x+2\right)$
expression.
5. Let the simplified
expression as the
numerator and the $\dfrac {6x-18-2x-4} {\left(x-2\right)\left(x+2\right)\left(x-3\right)}$
LCD as the
denominator of the
new fraction
6. Combine like terms
and reduce the
rational expression
if you can. In this $\dfrac {4x-22} {\left(x-2\right)\left(x+2\right)\left(x-3\right)}$
case, the rational
expression cannot
be simplified.

10th-13th grade

Geometry

Search count: 116

Solution

Qanda teacher - henrysee

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