Question

simplify by adding (6x^2 - x + 3) and (-2x^2 + 4x - 5).

a. (8x^2 + 3x + 8)
b. (4x^2 + 3x - 2)
c. (4x^2 + 3x + 2)
d. (4x^2 + 5x - 2)

Explanation:

Step1: Group like terms

$(6x^2 - 2x^2) + (-x + 4x) + (3 - 5)$

Step2: Combine $x^2$ terms

$6x^2 - 2x^2 = 4x^2$

Step3: Combine $x$ terms

$-x + 4x = 3x$

Step4: Combine constant terms

$3 - 5 = -2$

Step5: Combine all results

$4x^2 + 3x - 2$

Answer:

b. $4x^{2}+3x-2$