SOLUTION: Please help me solve this equation: \frac{3x^2–26x+80}{(x-6)(x-4)(x+2)} - \frac{3}{x + 2} the final answer should be written as: \frac{a}{x^2+bx+c} Here a,

Algebra ->  Expressions -> SOLUTION: Please help me solve this equation: \frac{3x^2–26x+80}{(x-6)(x-4)(x+2)} - \frac{3}{x + 2} the final answer should be written as: \frac{a}{x^2+bx+c} Here a,      Log On


   

Question 88520: Please help me solve this equation:
\frac{3x^2–26x+80}{(x-6)(x-4)(x+2)} - \frac{3}{x + 2}

the final answer should be written as:
\frac{a}{x^2+bx+c}
Here a,b and c are ordinary numbers.
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!



Multiply the second fraction by




Foil

Distribute

Combine the fractions

Distribute the negative

Combine like terms

Factor out a 4

Reduce

Foil the denominator

So



simplifies to




As always, you can verify by graphing the original and the simplified expressions to compare them