What is (7x+3)/(x-7)+1/(x+4) ?

The solution to (7x+3)/(x-7)+1/(x+4) is (7x^2+32x+5)/((x-7)(x+4))

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simplify (7x+3)/(x-7)+1/(x+4)

simplify

\frac{7 x + 3}{x - 7} + \frac{1}{x + 4}

\frac{7 x ^{2} + 32 x + 5}{( x - 7 ) ( x + 4 )}

Solution steps

\frac{7 x + 3}{x - 7} + \frac{1}{x + 4}

Least Common Multiplier of

x - 7, x + 4 : (x - 7) (x + 4)

Adjust Fractions based on the LCM

= \frac{( 7 x + 3 ) ( x + 4 )}{( x - 7 ) ( x + 4 )} + \frac{x - 7}{( x - 7 ) ( x + 4 )}

Apply the fraction rule:

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

= \frac{( 7 x + 3 ) ( x + 4 ) + x - 7}{( x - 7 ) ( x + 4 )}

Simplify

(7 x + 3) (x + 4) + x - 7 : 7 x^{2} + 32 x + 5

= \frac{7 x ^{2} + 32 x + 5}{( x - 7 ) ( x + 4 )}

\frac{( 2 x ^{3} + 9 x ^{2} + 3 x - 4 )}{( x + 4 )}

lo g_{2} (2^{6})

\frac{1}{6 x} + \frac{5}{4 x}

ln (e^{4 x})

\frac{5 + 6 i}{- 2 - 8 i}

What is (7x+3)/(x-7)+1/(x+4) ?
The solution to (7x+3)/(x-7)+1/(x+4) is (7x^2+32x+5)/((x-7)(x+4))