Write in Standard Form (-5m^2-8)-(-3m^2+m+2)

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

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

Simplify each term.

Apply the distributive property.

$- 5 m^{2} - 8 - (- 3 m^{2}) - m - 1 \cdot 2$

Simplify.

Multiply $- 3$ by $- 1$ .

$- 5 m^{2} - 8 + 3 m^{2} - m - 1 \cdot 2$

Multiply $- 1$ by $2$ .

$- 5 m^{2} - 8 + 3 m^{2} - m - 2$

Step 3

Simplify by adding terms.

Add $- 5 m^{2}$ and $3 m^{2}$ .

$- 2 m^{2} - 8 - m - 2$

Subtract $2$ from $- 8$ .

$- 2 m^{2} - m - 10$