Question

1. which expression is equivalent to \\((6x^3 + 3x^2 + 8)+(2x^2 - 9x + 10)\\)? \\(\bigcirc\\) a. \\(6x^3 + x^2 + 9x - 2\\) \\(\bigcirc\\) b. \\(6x^3 + 5x^2 - 9x + 18\\) \\(\bigcirc\\) c. \\(8x^5 - 6x^3 + 18\\) \\(\bigcirc\\) d. \\(5x^4 + 6x^3 - 9x + 18\\)

Explanation:

Step1: Remove parentheses

$6x^3 + 3x^2 + 8 + 2x^2 - 9x + 10$

Step2: Combine like $x^2$ terms

$6x^3 + (3x^2+2x^2) -9x + (8+10)$

Step3: Combine constant terms

$6x^3 + 5x^2 -9x + 18$

Answer:

B. $6x^3 + 5x^2 - 9x + 18$