What is expand (x^3-(3/x)+5)(x^2+4x+7) ?

The solution to expand (x^3-(3/x)+5)(x^2+4x+7) is x^5+4x^4+7x^3+5x^2+17x+23-(21)/x

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expand (x^3-(3/x)+5)(x^2+4x+7)

expand

(x^{3} - (\frac{3}{x}) + 5) (x^{2} + 4 x + 7)

x^{5} + 4 x^{4} + 7 x^{3} + 5 x^{2} + 17 x + 23 - \frac{21}{x}

Solution steps

(x^{3} - (\frac{3}{x}) + 5) (x^{2} + 4 x + 7)

Simplify

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

= (x^{3} - \frac{3}{x} + 5) (x^{2} + 4 x + 7)

Distribute parentheses

= x^{3} x^{2} + x^{3} \cdot 4 x + x^{3} \cdot 7 - \frac{3}{x} x^{2} - \frac{3}{x} \cdot 4 x - \frac{3}{x} \cdot 7 + 5 x^{2} + 5 \cdot 4 x + 5 \cdot 7

Simplify

x^{3} x^{2} + x^{3} \cdot 4 x + x^{3} \cdot 7 - \frac{3}{x} x^{2} - \frac{3}{x} \cdot 4 x - \frac{3}{x} \cdot 7 + 5 x^{2} + 5 \cdot 4 x + 5 \cdot 7 : x^{5} + 4 x^{4} + 7 x^{3} + 5 x^{2} + 17 x + 23 - \frac{21}{x}

= x^{5} + 4 x^{4} + 7 x^{3} + 5 x^{2} + 17 x + 23 - \frac{21}{x}

\frac{( 3 - x ) d x}{x ^{3} + 4 x ^{2} + 3 x}

(2 a + b)^{2}

\frac{1}{( ( 1 - i ) - 2 ) ^{2}}

\frac{2 ( a + h ) - 1 - 2 a - 1}{h}

(2 x y e^{x y} - 3 y^{2}) d y

What is expand (x^3-(3/x)+5)(x^2+4x+7) ?
The solution to expand (x^3-(3/x)+5)(x^2+4x+7) is x^5+4x^4+7x^3+5x^2+17x+23-(21)/x