Add or subtract. Show your work.
(2x2+6x+1)+(-7x2+2x-3)
A. 5x2-4x-2
B. -5x2+8x-2
C. 5x2-8x+2
D. -9x2-8x+2
To add or subtract, we need to combine like terms.
Starting with the x^2 terms:
2x^2 - 7x^2 = -5x^2
Moving to the x terms:
6x + 2x = 8x
And finally, the constant terms:
1 - 3 = -2
Putting it all together:
(2x^2 + 6x + 1) + (-7x^2 + 2x - 3) = -5x^2 + 8x - 2
So the answer is B. -5x^2 + 8x - 2.