What is expand (9-x^2)^2dx ?

The solution to expand (9-x^2)^2dx is 81dx-18x^2dx+x^4dx

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expand (9-x^2)^2dx

expand

(9 - x^{2})^{2} d x

81 d x - 18 x^{2} d x + x^{4} d x

Solution steps

(9 - x^{2})^{2} d x

(9 - x^{2})^{2} = 81 - 18 x^{2} + x^{4}

= (x^{4} - 18 x^{2} + 81) d x

Distribute parentheses

= d x \cdot 81 + d x (- 18 x^{2}) + d x x^{4}

Apply minus-plus rules

+ (- a) = - a

= 81 d x - 18 x^{2} d x + x^{4} d x

\frac{( x ^{2} + 1 ) ^{4}}{( 2 x + 1 ) ^{3} ( 3 x - 1 ) ^{5}}

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

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

(2 x y^{2} + 3 x^{2}) d x + (2 x^{2} y + 4 y^{3}) d y

2 (x + h)^{3} - 6 (x + h) - 2 x^{3} - 6 x

What is expand (9-x^2)^2dx ?
The solution to expand (9-x^2)^2dx is 81dx-18x^2dx+x^4dx