What is (2x+1/(x^2))(5-sqrt(x))(2x^5+1)^3 ?

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

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simplify (2x+1/(x^2))(5-sqrt(x))(2x^5+1)^3

simplify

(2 x + \frac{1}{x ^{2}}) (5 - x) (2 x^{5} + 1)^{3}

\frac{( 2 x ^{3} + 1 ) ( 5 - x ) ( 2 x ^{5} + 1 ) ^{3}}{x ^{2}}

Solution steps

(2 x + \frac{1}{x ^{2}}) (5 - x) (2 x^{5} + 1)^{3}

Join

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

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

Apply the fraction rule:

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

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

\frac{2 ( - 4 x - 12 )}{x ^{2} - 12 x + 36}

\frac{3 ( 15 + 7 5 )}{4}

\frac{2 ( 7 \cdot 7 ^{\frac{1}{2}} - 3 \cdot 3 ^{\frac{1}{2}} )}{9 \cdot 3 ^{\frac{1}{2}}}

P (- 1, - 1) y C (3, 5)

(2 + x + 1)^{2}

What is (2x+1/(x^2))(5-sqrt(x))(2x^5+1)^3 ?
The solution to (2x+1/(x^2))(5-sqrt(x))(2x^5+1)^3 is ((2x^3+1)(5-sqrt(x))(2x^5+1)^3)/(x^2)