Write in Standard Form (3a^2+1)-(4+2a^2)

$(3 a^{2} + 1) - (4 + 2 a^{2})$

To write a polynomial in standard form, simplify and then arrange the terms in descending order.

$a x^{2} + b x + c$

Simplify each term.

Apply the distributive property.

$3 a^{2} + 1 - 1 \cdot 4 - (2 a^{2})$

Multiply $- 1$ by $4$ .

$3 a^{2} + 1 - 4 - (2 a^{2})$

Multiply $2$ by $- 1$ .

$3 a^{2} + 1 - 4 - 2 a^{2}$

Simplify by adding terms.

Subtract $2 a^{2}$ from $3 a^{2}$ .

$a^{2} + 1 - 4$

Subtract $4$ from $1$ .

$a^{2} - 3$