What is [(3+2/x)x^2] ?

The solution to [(3+2/x)x^2] is (3x+2)x

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simplify [(3+2/x)x^2]

simplify

[(3 + \frac{2}{x}) x^{2}]

(3 x + 2) x

Solution steps

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

Join

3 + \frac{2}{x} : \frac{3 x + 2}{x}

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

Apply the fraction rule:

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

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

Apply exponent rule:

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

x^{2} = xx

= \frac{( 3 x + 2 ) xx}{x}

Cancel the common factor:

x

= (3 x + 2) x

(cos (x) + 1)^{2} + sin^{2} (x)

\frac{s ^{3} + 4 s ^{2} + s + 5}{( s ^{2} + 1 ) ( s ^{2} + 4 s + 8 )}

(1 + x) (- e^{- x})

(r cos (θ) + r sin (θ))^{2}