What is 3/5+(x+2)/(2x)+(x^2+2)/(6x^2) ?

The solution to 3/5+(x+2)/(2x)+(x^2+2)/(6x^2) is (19x^2+15x+5)/(15x^2)

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

simplify 3/5+(x+2)/(2x)+(x^2+2)/(6x^2)

simplify

\frac{3}{5} + \frac{x + 2}{2 x} + \frac{x ^{2} + 2}{6 x ^{2}}

\frac{19 x ^{2} + 15 x + 5}{15 x ^{2}}

Solution steps

\frac{3}{5} + \frac{x + 2}{2 x} + \frac{x ^{2} + 2}{6 x ^{2}}

Least Common Multiplier of

5, 2 x, 6 x^{2} : 30 x^{2}

Adjust Fractions based on the LCM

= \frac{18 x ^{2}}{30 x ^{2}} + \frac{( x + 2 ) \cdot 15 x}{30 x ^{2}} + \frac{( x ^{2} + 2 ) \cdot 5}{30 x ^{2}}

Apply the fraction rule:

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

= \frac{18 x ^{2} + ( x + 2 ) \cdot 15 x + ( x ^{2} + 2 ) \cdot 5}{30 x ^{2}}

Simplify

18 x^{2} + (x + 2) \cdot 15 x + (x^{2} + 2) \cdot 5 : 38 x^{2} + 30 x + 10

= \frac{38 x ^{2} + 30 x + 10}{30 x ^{2}}

Cancel

\frac{38 x ^{2} + 30 x + 10}{30 x ^{2}} : \frac{19 x ^{2} + 15 x + 5}{15 x ^{2}}

= \frac{19 x ^{2} + 15 x + 5}{15 x ^{2}}

(x - 9) (x + 3)

lo g_{5} (5^{3})

(- 3 + 2 i) (- 6 - 8 i)

(- 4 x^{3} + 6 x^{2} - 8 x + 1) + (2 x^{2} + 7 x - 7)

(x^{- 3}) (3 x^{- 2})^{- 1}

What is 3/5+(x+2)/(2x)+(x^2+2)/(6x^2) ?
The solution to 3/5+(x+2)/(2x)+(x^2+2)/(6x^2) is (19x^2+15x+5)/(15x^2)