What is (2x^2+6x)/(10x^3) ?

The solution to (2x^2+6x)/(10x^3) is (x+3)/(5x^2)

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

simplify (2x^2+6x)/(10x^3)

simplify

\frac{2 x ^{2} + 6 x}{10 x ^{3}}

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

Solution steps

\frac{2 x ^{2} + 6 x}{10 x ^{3}}

Factor

2 x^{2} + 6 x : 2 x (x + 3)

= \frac{2 x ( x + 3 )}{10 x ^{3}}

Factor the number:

10 = 2 \cdot 5

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

Cancel the common factor:

2

= \frac{x ( x + 3 )}{5 x ^{3}}

Apply exponent rule:

a^{b + c} = a^{b} \cdot a^{c}

x^{3} = x x^{2}

= \frac{x ( x + 3 )}{5 x x ^{2}}

Cancel the common factor:

x

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

7 (x - 2)

- 2 (n - 9) + 4

\frac{4 ^{3}}{4 ^{- 1}}

\frac{81}{10}