Simplify (x^3+8x+5)-(2x^2-3x-12)

$(x^{3} + 8 x + 5) - (2 x^{2} - 3 x - 12)$

Step 1

Simplify each term.

Apply the distributive property.

$x^{3} + 8 x + 5 - (2 x^{2}) - (- 3 x) - - 12$

Simplify.

Multiply $2$ by $- 1$ .

$x^{3} + 8 x + 5 - 2 x^{2} - (- 3 x) - - 12$

Multiply $- 3$ by $- 1$ .

$x^{3} + 8 x + 5 - 2 x^{2} + 3 x - - 12$

Multiply $- 1$ by $- 12$ .

$x^{3} + 8 x + 5 - 2 x^{2} + 3 x + 12$

$x^{3} + 8 x + 5 - 2 x^{2} + 3 x + 12$

$x^{3} + 8 x + 5 - 2 x^{2} + 3 x + 12$

Step 2

Simplify by adding terms.

Add $8 x$ and $3 x$ .

$x^{3} + 11 x + 5 - 2 x^{2} + 12$

Simplify the expression.

Add $5$ and $12$ .

$x^{3} + 11 x - 2 x^{2} + 17$

Move $11 x$ .

$x^{3} - 2 x^{2} + 11 x + 17$

$x^{3} - 2 x^{2} + 11 x + 17$

$x^{3} - 2 x^{2} + 11 x + 17$

Related Questions