What is (6x-7)/(x^2+6x+5)+4/(x+5) ?

The solution to (6x-7)/(x^2+6x+5)+4/(x+5) is (10x-3)/((x+1)(x+5))

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simplify (6x-7)/(x^2+6x+5)+4/(x+5)

simplify

\frac{6 x - 7}{x ^{2} + 6 x + 5} + \frac{4}{x + 5}

\frac{10 x - 3}{( x + 1 ) ( x + 5 )}

Solution steps

\frac{6 x - 7}{x ^{2} + 6 x + 5} + \frac{4}{x + 5}

Least Common Multiplier of

x^{2} + 6 x + 5, x + 5 : (x + 1) (x + 5)

Adjust Fractions based on the LCM

= \frac{6 x - 7}{( x + 1 ) ( x + 5 )} + \frac{4 ( x + 1 )}{( x + 1 ) ( x + 5 )}

Apply the fraction rule:

\frac{a}{c} + \frac{b}{c} = \frac{a + b}{c}

= \frac{6 x - 7 + 4 ( x + 1 )}{( x + 1 ) ( x + 5 )}

Simplify

6 x - 7 + 4 (x + 1) : 10 x - 3

= \frac{10 x - 3}{( x + 1 ) ( x + 5 )}

\frac{13}{91}

\frac{84}{14}

6 \times 5

1.99 9^{4}

9 m^{2} + 24 m + 7

What is (6x-7)/(x^2+6x+5)+4/(x+5) ?
The solution to (6x-7)/(x^2+6x+5)+4/(x+5) is (10x-3)/((x+1)(x+5))