Algebra Examples

$(15 x^{2} - 3 x + 11) + (2 x^{3} - x^{2} + 6 x + 1)$

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

Subtract $x^{2}$ from $15 x^{2}$ .

$14 x^{2} - 3 x + 11 + 2 x^{3} + 6 x + 1$

Step 3

Add $- 3 x$ and $6 x$ .

$14 x^{2} + 3 x + 11 + 2 x^{3} + 1$

Step 4

Simplify the expression.

Tap for more steps...

Step 4.1

Add $11$ and $1$ .

$14 x^{2} + 3 x + 2 x^{3} + 12$

Step 4.2

Move $3 x$ .

$14 x^{2} + 2 x^{3} + 3 x + 12$

Step 4.3

Reorder $14 x^{2}$ and $2 x^{3}$ .

$2 x^{3} + 14 x^{2} + 3 x + 12$