Algebra Examples

$(- x^{3} + 26 x^{2} - 7 x - 13) + (6 x^{4} - x^{3} + 8 x + 27)$

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 $x^{3}$ from $- x^{3}$ .

$- 2 x^{3} + 26 x^{2} - 7 x - 13 + 6 x^{4} + 8 x + 27$

Step 3

Add $- 7 x$ and $8 x$ .

$- 2 x^{3} + 26 x^{2} + x - 13 + 6 x^{4} + 27$

Step 4

Simplify the expression.

Tap for more steps...

Step 4.1

Add $- 13$ and $27$ .

$- 2 x^{3} + 26 x^{2} + x + 6 x^{4} + 14$

Step 4.2

Move $x$ .

$- 2 x^{3} + 26 x^{2} + 6 x^{4} + x + 14$

Step 4.3

Move $26 x^{2}$ .

$- 2 x^{3} + 6 x^{4} + 26 x^{2} + x + 14$

Step 4.4

Reorder $- 2 x^{3}$ and $6 x^{4}$ .

$6 x^{4} - 2 x^{3} + 26 x^{2} + x + 14$