What is (x^2-2/x+1)*6x^2 ?

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

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

simplify (x^2-2/x+1)*6x^2

simplify

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

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

Solution steps

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

Join

x^{2} - \frac{2}{x} + 1 : \frac{x ^{3} - 2 + x}{x}

= \frac{x ^{3} - 2 + x}{x} \cdot 6 x^{2}

Apply the fraction rule:

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

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

Apply exponent rule:

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

x^{2} = xx

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

Cancel the common factor:

x

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

= 6 x (x^{3} - 2 + x)

(1 + \frac{y}{2})^{3}

\frac{5 ( - 25 n + 25 )}{2 n}

(x - 1) (x^{2} + 4)

(4 + e^{- t} (- 4 cos (t) - 4 sin (t))) \cdot e^{t}