simplify x^2(1-2/x)

Solution

simplify

x^{2} (1 - \frac{2}{x})

x (x - 2)

Solution steps

x^{2} (1 - \frac{2}{x})

Join

1 - \frac{2}{x} : \frac{x - 2}{x}

= x^{2} \frac{x - 2}{x}

Apply the fraction rule:

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

= \frac{x ^{2} ( x - 2 )}{x}

Apply exponent rule:

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

x^{2} = xx

= \frac{xx ( x - 2 )}{x}

Cancel the common factor:

x

= x (x - 2)

(3 x^{2} y + 2 x y + y^{3}) e^{3 x}

l (e^{4 t} sin (t) - e^{2 t} cos (4 t))

\frac{6}{y} \cdot \frac{( x + y )}{4}

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

\frac{8}{3 p} + \frac{5}{4 p} + \frac{9}{2 p}