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

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

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expand-2*(x+dx)^2

expand

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

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

Solution steps

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

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

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

Distribute parentheses

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

Apply minus-plus rules

+ (- a) = - a

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

Multiply the numbers:

2 \cdot 2 = 4

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

(3 x + 2 y + 4) d x + (3 x + 2 y - 3) d y

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

e^{α \cdot t} ((a cosh (β \cdot t)) + (b + c \cdot t) sinh (β \cdot t))

(x + 11)^{2}

e^{12 x} [12 (2 x + 12 x^{2}) + 2 + \frac{24}{x}]

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