What is (2x+3)/x-1/(x+7) ?

The solution to (2x+3)/x-1/(x+7) is (2x^2+16x+21)/(x(x+7))

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

simplify (2x+3)/x-1/(x+7)

simplify

\frac{2 x + 3}{x} - \frac{1}{x + 7}

\frac{2 x ^{2} + 16 x + 21}{x ( x + 7 )}

Solution steps

\frac{2 x + 3}{x} - \frac{1}{x + 7}

Least Common Multiplier of

x, x + 7 : x (x + 7)

Adjust Fractions based on the LCM

= \frac{( 2 x + 3 ) ( x + 7 )}{x ( x + 7 )} - \frac{x}{x ( x + 7 )}

Apply the fraction rule:

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

= \frac{( 2 x + 3 ) ( x + 7 ) - x}{x ( x + 7 )}

Simplify

(2 x + 3) (x + 7) - x : 2 x^{2} + 16 x + 21

= \frac{2 x ^{2} + 16 x + 21}{x ( x + 7 )}

(x - 9) (x + 4)

\frac{15}{75}

\frac{2}{3} \div \frac{1}{4}

(- 7 + 5 i) (5 + 3 i)

(x + 1) (x + 7)

What is (2x+3)/x-1/(x+7) ?
The solution to (2x+3)/x-1/(x+7) is (2x^2+16x+21)/(x(x+7))