What is expand (4x^2+x^2u-3u^2x^2)dx ?

The solution to expand (4x^2+x^2u-3u^2x^2)dx is 4x^2dx+x^2udx-3x^2u^2dx

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expand (4x^2+x^2u-3u^2x^2)dx

expand

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

4 x^{2} d x + x^{2} u d x - 3 x^{2} u^{2} d x

Solution steps

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

= (4 x^{2} + x^{2} u - 3 x^{2} u^{2}) d x

Distribute parentheses

= d x \cdot 4 x^{2} + d x x^{2} u + d x (- 3 u^{2} x^{2})

Apply minus-plus rules

+ (- a) = - a

= 4 x^{2} d x + x^{2} u d x - 3 x^{2} u^{2} d x

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

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

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

, (9 + 3 i) (9 - 3 i)

4 (a + 3) - 2 (a + 20)

What is expand (4x^2+x^2u-3u^2x^2)dx ?
The solution to expand (4x^2+x^2u-3u^2x^2)dx is 4x^2dx+x^2udx-3x^2u^2dx