What is expand (x-1)^2dx ?

The solution to expand (x-1)^2dx is x^2dx-2xdx+dx

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expand (x-1)^2dx

expand

(x - 1)^{2} d x

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

Solution steps

(x - 1)^{2} d x

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

= (x^{2} - 2 x + 1) d x

Distribute parentheses

= d x x^{2} + d x (- 2 x) + d x \cdot 1

Apply minus-plus rules

+ (- a) = - a

= x^{2} d x - 2 x d x + 1 \cdot d x

Multiply:

1 \cdot d x = d x

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

(\frac{1}{R} = \frac{1}{R _{1}} + \frac{1}{R _{2}}) \cdot R^{2}

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