SOLUTION: Please help me solve this equation: \frac{6x^2 + 6x + 42}{(x+5)(x + 2)(x - 4)} - \frac{6}{x+5} Answer should be written as: \frac{a}{x^2+bx+c} Here a,b and c are ordina

Algebra ->  Expressions -> SOLUTION: Please help me solve this equation: \frac{6x^2 + 6x + 42}{(x+5)(x + 2)(x - 4)} - \frac{6}{x+5} Answer should be written as: \frac{a}{x^2+bx+c} Here a,b and c are ordina      Log On


   



Question 88539: Please help me solve this equation:
\frac{6x^2 + 6x + 42}{(x+5)(x + 2)(x - 4)} - \frac{6}{x+5}
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 an 18

Reduce

Foil the denominator

So



simplifies to




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