We want to calculate the following expression
![(7x^2+2x-3)-(4x^2-3x+1)](https://img.qammunity.org/2023/formulas/mathematics/college/rhl5ql120xxvqdjpdjvh69ay0yx3zx8gjh.png)
We will begin by eliminating the parentheses from the expression. To do so we need to distribute the negative sign of the right most parentheses. If we do so we obtain the following equivalent expression
![7x^2+2x-3-4x^2+3x-1](https://img.qammunity.org/2023/formulas/mathematics/college/5zc3x5omwmom5icv77soe6t4g13ijljras.png)
Now, we will group each coefficient separately. That is, we will group terms that have the same coefficient. If we do so, we obtain
![(7-4)x^2+(2+3)\cdot x+(-3-1)\cdot1](https://img.qammunity.org/2023/formulas/mathematics/college/v1rgnx3svczzjcvm8z5oprfwa6pnbsuv50.png)
Now, if we operate inside each parentheses, we obtain the final expression, which is
![3x^2+5x-4](https://img.qammunity.org/2023/formulas/mathematics/college/2q6wxoz37hdsyezu21k556wxhhnedqwrtn.png)