Question

find the sum
$(x^{2}+3x - 9)+(4x^{2}-6x + 1)$
a) $4x^{2}-3x - 8$
b) $5x^{2}-3x - 8$
c) $5x^{2}+9x - 10$
d) $4x^{2}+9x - 10$

Explanation:

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

\(x^2 + 4x^2 = (1 + 4)x^2 = 5x^2\)

Step2: Combine like terms for \(x\)

\(3x - 6x = (3 - 6)x = -3x\)

Step3: Combine like terms for constants

\(-9 + 1 = -8\)

Step4: Combine all results

\(5x^2 - 3x - 8\)

Answer:

B) \(5x^2 - 3x - 8\)