( 2x squared +6x+1)+( -7x squared +2x-3)

= (2x² - 7x²) + (6x + 2x) + (1 - 3)

= -5x² + 8x - 2

To add the two expressions (2x^2 + 6x + 1) and (-7x^2 + 2x - 3), you combine like terms by adding the coefficients of the same degree.

Start by rearranging the expression:

(2x^2 + (-7x^2)) + (6x + 2x) + (1 + (-3))

Combine the like terms within each group:

-5x^2 + 8x - 2

So, the sum of the two expressions is -5x^2 + 8x - 2.