Algebra Examples

$(10 x - x^{2} + 8) + (5 x^{2} + 1 - 22 x)$

Step 1

Remove parentheses.

$10 x - x^{2} + 8 + 5 x^{2} + 1 - 22 x$

Step 2

Subtract $22 x$ from $10 x$ .

$- 12 x - x^{2} + 8 + 5 x^{2} + 1$

Step 3

Add $- x^{2}$ and $5 x^{2}$ .

$- 12 x + 4 x^{2} + 8 + 1$

Step 4

Simplify the expression.

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Step 4.1

Add $8$ and $1$ .

$- 12 x + 4 x^{2} + 9$

Step 4.2

Reorder $- 12 x$ and $4 x^{2}$ .

$4 x^{2} - 12 x + 9$

$4 x^{2} - 12 x + 9$

$[\begin{array}{c} x^{2} & \frac{1}{2} \\ \sqrt{π} & \int x d x \end{array}]$