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

The solution to (2x+5)/(6x)-(x+6)/(4x^2) is (4x^2+7x-18)/(12x^2)

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

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

simplify

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

\frac{4 x ^{2} + 7 x - 18}{12 x ^{2}}

Solution steps

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

Least Common Multiplier of

6 x, 4 x^{2} : 12 x^{2}

Adjust Fractions based on the LCM

= \frac{( 2 x + 5 ) \cdot 2 x}{12 x ^{2}} - \frac{( x + 6 ) \cdot 3}{12 x ^{2}}

Apply the fraction rule:

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

= \frac{( 2 x + 5 ) \cdot 2 x - ( x + 6 ) \cdot 3}{12 x ^{2}}

Simplify

(2 x + 5) \cdot 2 x - (x + 6) \cdot 3 : 4 x^{2} + 7 x - 18

= \frac{4 x ^{2} + 7 x - 18}{12 x ^{2}}

4 x - 6

\frac{8}{3} \div 2

- 8 \cdot 3

\frac{1}{cot ^{2} ( θ )} + sec (θ) cos (θ)

36 \times 3

What is (2x+5)/(6x)-(x+6)/(4x^2) ?
The solution to (2x+5)/(6x)-(x+6)/(4x^2) is (4x^2+7x-18)/(12x^2)