add or subtract

Question

(2x^2 +6x+1)+(-7x^2 + 2x-3)
a) 5x^2-4x-2
b) -5x^2+8x-2
c) 5x^2-8x+2
d) -9x^2 -8x+2

Answer 1

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

Combining like terms:

= 2x^2 + 6x + 1 - 7x^2 + 2x - 3
= (2x^2 - 7x^2) + (6x + 2x) + (1 - 3)
= -5x^2 + 8x - 2

Therefore, the answer is b) -5x^2 + 8x - 2.