Simplify (5x+x^2-4)-(4x-x^2+6)

$(5 x + x^{2} - 4) - (4 x - x^{2} + 6)$

Step 1

Simplify each term.

Apply the distributive property.

$5 x + x^{2} - 4 - (4 x) - - x^{2} - 1 \cdot 6$

Simplify.

Multiply $4$ by $- 1$ .

$5 x + x^{2} - 4 - 4 x - - x^{2} - 1 \cdot 6$

Multiply $- - x^{2}$ .

Multiply $- 1$ by $- 1$ .

$5 x + x^{2} - 4 - 4 x + 1 x^{2} - 1 \cdot 6$

Multiply $x^{2}$ by $1$ .

$5 x + x^{2} - 4 - 4 x + x^{2} - 1 \cdot 6$

$5 x + x^{2} - 4 - 4 x + x^{2} - 1 \cdot 6$

Multiply $- 1$ by $6$ .

$5 x + x^{2} - 4 - 4 x + x^{2} - 6$

$5 x + x^{2} - 4 - 4 x + x^{2} - 6$

$5 x + x^{2} - 4 - 4 x + x^{2} - 6$

Step 2

Simplify by adding terms.

Subtract $4 x$ from $5 x$ .

$x + x^{2} - 4 + x^{2} - 6$

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

$x + 2 x^{2} - 4 - 6$

Simplify the expression.

Subtract $6$ from $- 4$ .

$x + 2 x^{2} - 10$

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

$2 x^{2} + x - 10$

$2 x^{2} + x - 10$

$2 x^{2} + x - 10$

Related Questions