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

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

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expand (x^2-2)^2dx

expand

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

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

Solution steps

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

(x^{2} - 2)^{2} = x^{4} - 4 x^{2} + 4

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

Distribute parentheses

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

Apply minus-plus rules

+ (- a) = - a

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

(x^{2} - 2 x - 1)^{5}

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

\frac{d ^{2}}{d x ^{2}} ((y) (4 (2 x + 2) sin (x^{2} + 2 x + \frac{π}{2})))

3 + 0 (x - 1)

\frac{- 2 ( 0 ) + 9}{- ( 0 ) ^{2} + 9}

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