Question

select the correct answer.
find the sum: $(3x^2 + 5x - 8) + (5x^2 - 13x - 5)$
a. $8x^2 - 8x + 13$
b. $8x^2 - 8x - 13$
c. $8x^2 - x - 13$
d. $8x^2 + 8x - 13$

Explanation:

Step1: Combine like terms for \(x^2\)

\(3x^2 + 5x^2 = (3 + 5)x^2 = 8x^2\)

Step2: Combine like terms for \(x\)

\(5x - 13x = (5 - 13)x = -8x\)

Step3: Combine like terms for constants

\(-8 - 5 = -13\)

Step4: Combine all results

Putting it together, we get \(8x^2 - 8x - 13\)

Answer:

B. \(8x^2 - 8x - 13\)