Algebra Examples

$4 z - 9 z^{3} + 4 + 7 (- 3 z^{2} + 6)$

Step 1

Simplify each term.

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Step 1.1

Apply the distributive property.

$4 z - 9 z^{3} + 4 + 7 (- 3 z^{2}) + 7 \cdot 6$

Step 1.2

Multiply $- 3$ by $7$ .

$4 z - 9 z^{3} + 4 - 21 z^{2} + 7 \cdot 6$

Step 1.3

Multiply $7$ by $6$ .

$4 z - 9 z^{3} + 4 - 21 z^{2} + 42$

$4 z - 9 z^{3} + 4 - 21 z^{2} + 42$

Step 2

Simplify the expression.

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Step 2.1

Add $4$ and $42$ .

$4 z - 9 z^{3} - 21 z^{2} + 46$

Step 2.2

Move $4 z$ .

$- 9 z^{3} - 21 z^{2} + 4 z + 46$

$- 9 z^{3} - 21 z^{2} + 4 z + 46$

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