Algebra Examples

$(z^{2} - z + 12) + (z^{3} + z^{2} - 12 z)$

Step 1

To write a polynomial in standard form, simplify and then arrange the terms in descending order.

$a x^{2} + b x + c$

Step 2

Add $z^{2}$ and $z^{2}$ .

$2 z^{2} - z + 12 + z^{3} - 12 z$

Step 3

Subtract $12 z$ from $- z$ .

$2 z^{2} - 13 z + 12 + z^{3}$

Step 4

Simplify the expression.

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Step 4.1

Move $12$ .

$2 z^{2} - 13 z + z^{3} + 12$

Step 4.2

Move $- 13 z$ .

$2 z^{2} + z^{3} - 13 z + 12$

Step 4.3

Reorder $2 z^{2}$ and $z^{3}$ .

$z^{3} + 2 z^{2} - 13 z + 12$