What is (x^2+1/(25x^2))*5 ?

The solution to (x^2+1/(25x^2))*5 is (25x^4+1)/(5x^2)

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simplify (x^2+1/(25x^2))*5

simplify

(x^{2} + \frac{1}{25 x ^{2}}) \cdot 5

\frac{25 x ^{4} + 1}{5 x ^{2}}

Solution steps

(x^{2} + \frac{1}{25 x ^{2}}) \cdot 5

Join

x^{2} + \frac{1}{25 x ^{2}} : \frac{25 x ^{4} + 1}{25 x ^{2}}

= \frac{25 x ^{4} + 1}{25 x ^{2}} \cdot 5

Apply the fraction rule:

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

= \frac{( 25 x ^{4} + 1 ) \cdot 5}{25 x ^{2}}

Cancel

\frac{( 25 x ^{4} + 1 ) \cdot 5}{25 x ^{2}} : \frac{25 x ^{4} + 1}{5 x ^{2}}

= \frac{25 x ^{4} + 1}{5 x ^{2}}

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What is (x^2+1/(25x^2))*5 ?
The solution to (x^2+1/(25x^2))*5 is (25x^4+1)/(5x^2)