What is x^3+1/(x^2)+3 ?

The solution to x^3+1/(x^2)+3 is (x^5+1+3x^2)/(x^2)

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simplify x^3+1/(x^2)+3

simplify

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

\frac{x ^{5} + 1 + 3 x ^{2}}{x ^{2}}

Solution steps

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

Convert

x^{3}

to fraction

: \frac{x ^{5}}{x ^{2}}

Convert

3

to fraction

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

= \frac{x ^{5}}{x ^{2}} + \frac{1}{x ^{2}} + \frac{3 x ^{2}}{x ^{2}}

Apply the fraction rule:

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

= \frac{x ^{5} + 1 + 3 x ^{2}}{x ^{2}}

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