How do you simplify #2/( x - 4) + 3/ ( x - 2) = (6x)/ ( x ^ { 2} - 6x + 8)#?
2 Answers
Explanation:
First, you need to find the least common denominator, just like when you add a fraction with no variables.
The common denominator of
If you factor the bottom of the right side of the equation,
Now, multiply the numerator of each fraction by the part of the LCD not already in the denominator, like so:
You can now combine the fractions because they have the same denominator.
Multiply/expand with distribution.
Multiply both sides by the denominator to remove it.
Simplify
Add 16 to both sides.
Subtract 6x from both sides.
Simplify
Divide by
Simplify
Explanation:
multiply both sides by
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check:-
substitute