What is expand 20x(x+9)^4dx ?

The solution to expand 20x(x+9)^4dx is 20x^5dx+720x^4dx+9720x^3dx+58320x^2dx+131220xdx

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expand 20x(x+9)^4dx

expand

20 x (x + 9)^{4} d x

20 x^{5} d x + 720 x^{4} d x + 9720 x^{3} d x + 58320 x^{2} d x + 131220 x d x

Solution steps

20 x (x + 9)^{4} d x

(x + 9)^{4} = x^{4} + 36 x^{3} + 486 x^{2} + 2916 x + 6561

= 20 x (x^{4} + 36 x^{3} + 486 x^{2} + 2916 x + 6561) d x

Distribute parentheses

= 20 x d x x^{4} + 20 x d x \cdot 36 x^{3} + 20 x d x \cdot 486 x^{2} + 20 x d x \cdot 2916 x + 20 x d x \cdot 6561

= 20 x^{4} x d x + 20 \cdot 36 x^{3} x d x + 20 \cdot 486 x^{2} x d x + 20 \cdot 2916 xx d x + 20 \cdot 6561 x d x

Simplify

20 x^{4} x d x + 20 \cdot 36 x^{3} x d x + 20 \cdot 486 x^{2} x d x + 20 \cdot 2916 xx d x + 20 \cdot 6561 x d x : 20 x^{5} d x + 720 x^{4} d x + 9720 x^{3} d x + 58320 x^{2} d x + 131220 x d x

= 20 x^{5} d x + 720 x^{4} d x + 9720 x^{3} d x + 58320 x^{2} d x + 131220 x d x

\frac{700}{( p + 8 ) ^{4}}

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

(1 - 3 x + 2)^{2}

(x^{2} y^{2} + y + x - 2) d y

\frac{8 s ( s + 1 ) ( s - 6 )}{( s + 2 ) ( s + 3 ) ( s - 7 )}

What is expand 20x(x+9)^4dx ?
The solution to expand 20x(x+9)^4dx is 20x^5dx+720x^4dx+9720x^3dx+58320x^2dx+131220xdx