Write in Standard Form (-7x^2+3)-(-4x-3)

$(- 7 x^{2} + 3) - (- 4 x - 3)$

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.

$- 7 x^{2} + 3 - (- 4 x) - - 3$

Multiply $- 4$ by $- 1$ .

$- 7 x^{2} + 3 + 4 x - - 3$

Multiply $- 1$ by $- 3$ .

$- 7 x^{2} + 3 + 4 x + 3$

Add $3$ and $3$ .

$- 7 x^{2} + 4 x + 6$