Write in Standard Form (-3a^2+2a-5)-(-2a^2+a+6)

$(- 3 a^{2} + 2 a - 5) - (- 2 a^{2} + a + 6)$

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.

$- 3 a^{2} + 2 a - 5 - (- 2 a^{2}) - a - 1 \cdot 6$

Simplify.

Multiply $- 2$ by $- 1$ .

$- 3 a^{2} + 2 a - 5 + 2 a^{2} - a - 1 \cdot 6$

Multiply $- 1$ by $6$ .

$- 3 a^{2} + 2 a - 5 + 2 a^{2} - a - 6$

Step 3

Simplify by adding terms.

Add $- 3 a^{2}$ and $2 a^{2}$ .

$- a^{2} + 2 a - 5 - a - 6$

Subtract $a$ from $2 a$ .

$- a^{2} + a - 5 - 6$

Subtract $6$ from $- 5$ .

$- a^{2} + a - 11$