What is x(x+(38400)/(x^2)) ?

The solution to x(x+(38400)/(x^2)) is (x^3+38400)/x

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simplify x(x+(38400)/(x^2))

simplify

x (x + \frac{38400}{x ^{2}})

\frac{x ^{3} + 38400}{x}

Solution steps

x (x + \frac{38400}{x ^{2}})

Join

x + \frac{38400}{x ^{2}} : \frac{x ^{3} + 38400}{x ^{2}}

= x \frac{x ^{3} + 38400}{x ^{2}}

Apply the fraction rule:

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

= \frac{x ( x ^{3} + 38400 )}{x ^{2}}

Apply exponent rule:

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

x^{2} = xx

= \frac{x ( x ^{3} + 38400 )}{xx}

Cancel the common factor:

x

= \frac{x ^{3} + 38400}{x}

(x - 22) (x + 22) (x - 5) (x + 5) (x + 3)

5 + 16 + \frac{25}{4}

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

\frac{1 + ( 2 n - 1 ) 1 + 4 n ( n + 1 )}{2}

\frac{( 4 x ^{2} + x + 25 )}{( x - 1 ) ( x ^{2} + 9 )}

What is x(x+(38400)/(x^2)) ?
The solution to x(x+(38400)/(x^2)) is (x^3+38400)/x