What is 5/(2x)-(3x)/(x+1) ?

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

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

simplify 5/(2x)-(3x)/(x+1)

simplify

\frac{5}{2 x} - \frac{3 x}{x + 1}

\frac{5 x + 5 - 6 x ^{2}}{2 x ( x + 1 )}

Solution steps

\frac{5}{2 x} - \frac{3 x}{x + 1}

Least Common Multiplier of

2 x, x + 1 : 2 x (x + 1)

Adjust Fractions based on the LCM

= \frac{5 ( x + 1 )}{2 x ( x + 1 )} - \frac{6 x ^{2}}{2 x ( x + 1 )}

Apply the fraction rule:

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

= \frac{5 ( x + 1 ) - 6 x ^{2}}{2 x ( x + 1 )}

Simplify

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

= \frac{5 x + 5 - 6 x ^{2}}{2 x ( x + 1 )}

2 x (x^{2} + 3)

37 \cdot 37

3 \div \frac{3}{2}

a^{3} x - a^{2} y

1 0^{- 3} \cdot 1 0^{- 3}

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