Algebra Examples

$7 x - (2 (x^{2} - z) + 4 x^{2} - 7 z) + 6 z^{2}$

Step 1

Simplify each term.

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Step 1.1

Simplify each term.

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Step 1.1.1

Apply the distributive property.

$7 x - (2 x^{2} + 2 (- z) + 4 x^{2} - 7 z) + 6 z^{2}$

Step 1.1.2

Multiply $- 1$ by $2$ .

$7 x - (2 x^{2} - 2 z + 4 x^{2} - 7 z) + 6 z^{2}$

$7 x - (2 x^{2} - 2 z + 4 x^{2} - 7 z) + 6 z^{2}$

Step 1.2

Add $2 x^{2}$ and $4 x^{2}$ .

$7 x - (6 x^{2} - 2 z - 7 z) + 6 z^{2}$

Step 1.3

Subtract $7 z$ from $- 2 z$ .

$7 x - (6 x^{2} - 9 z) + 6 z^{2}$

Step 1.4

Apply the distributive property.

$7 x - (6 x^{2}) - (- 9 z) + 6 z^{2}$

Step 1.5

Multiply $6$ by $- 1$ .

$7 x - 6 x^{2} - (- 9 z) + 6 z^{2}$

Step 1.6

Multiply $- 9$ by $- 1$ .

$7 x - 6 x^{2} + 9 z + 6 z^{2}$

$7 x - 6 x^{2} + 9 z + 6 z^{2}$

Step 2

Reorder.

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Step 2.1

Move $9 z$ .

$7 x - 6 x^{2} + 6 z^{2} + 9 z$

Step 2.2

Move $7 x$ .

$- 6 x^{2} + 6 z^{2} + 7 x + 9 z$

$- 6 x^{2} + 6 z^{2} + 7 x + 9 z$

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