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

The solution to (x+7)/(x+5)-(x+2)/(x+4) is (4x+18)/((x+5)(x+4))

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

simplify

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

\frac{4 x + 18}{( x + 5 ) ( x + 4 )}

Solution steps

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

Least Common Multiplier of

x + 5, x + 4 : (x + 5) (x + 4)

Adjust Fractions based on the LCM

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

Apply the fraction rule:

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

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

Simplify

(x + 7) (x + 4) - (x + 2) (x + 5) : 4 x + 18

= \frac{4 x + 18}{( x + 5 ) ( x + 4 )}

lo g_{2} (x + 2) + lo g_{2} (x - 2)

\frac{\frac{π}{2}}{2 π}

1 + (2 x - \frac{1}{8 x})^{2}

- \frac{1}{8} + \frac{1}{4}

(a + x)^{2}

What is (x+7)/(x+5)-(x+2)/(x+4) ?
The solution to (x+7)/(x+5)-(x+2)/(x+4) is (4x+18)/((x+5)(x+4))