Calculus Examples

$(2 h^{2} + 4 h x + 2 x^{2} - 9 h - 9 x) - (2 x^{2} - 9 x)$

Step 1

Simplify each term.

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Step 1.1

Apply the distributive property.

$2 h^{2} + 4 h x + 2 x^{2} - 9 h - 9 x - (2 x^{2}) - (- 9 x)$

Step 1.2

Multiply $2$ by $- 1$ .

$2 h^{2} + 4 h x + 2 x^{2} - 9 h - 9 x - 2 x^{2} - (- 9 x)$

Step 1.3

Multiply $- 9$ by $- 1$ .

$2 h^{2} + 4 h x + 2 x^{2} - 9 h - 9 x - 2 x^{2} + 9 x$

Step 2

Combine the opposite terms in $2 h^{2} + 4 h x + 2 x^{2} - 9 h - 9 x - 2 x^{2} + 9 x$ .

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Step 2.1

Subtract $2 x^{2}$ from $2 x^{2}$ .

$2 h^{2} + 4 h x - 9 h - 9 x + 0 + 9 x$

Step 2.2

Add $2 h^{2} + 4 h x - 9 h - 9 x$ and $0$ .

$2 h^{2} + 4 h x - 9 h - 9 x + 9 x$

Step 2.3

Add $- 9 x$ and $9 x$ .

$2 h^{2} + 4 h x - 9 h + 0$

Step 2.4

Add $2 h^{2} + 4 h x - 9 h$ and $0$ .

$2 h^{2} + 4 h x - 9 h$