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

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

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.

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

Simplify.

Multiply $- 3$ by $- 1$ .

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

Multiply $2$ by $- 1$ .

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

Multiply $- 1$ by $- 5$ .

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

Step 3

Simplify by adding terms.

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

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

Subtract $2 a$ from $a$ .

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

Add $6$ and $5$ .

$a^{2} - a + 11$