Question

simplify the expression.\\((-6x + 13x^2 - x^5) + (5x^2 - 2x^5 + 6x)\\)\\(-13x^5 + 18x^2 + 6x\\)\\(-3x^5 + 18x^2\\)\\(-3x^5 + 18x^2 + 6x\\)\\(-13x^5 + 18x^2\\)

Explanation:

Step1: Remove parentheses

$(-6x + 13x^2 - x^5) + (5x^2 - 2x^5 + 6x) = -6x + 13x^2 - x^5 + 5x^2 - 2x^5 + 6x$

Step2: Combine $x^5$ terms

$-x^5 - 2x^5 = -3x^5$

Step3: Combine $x^2$ terms

$13x^2 + 5x^2 = 18x^2$

Step4: Combine $x$ terms

$-6x + 6x = 0$

Step5: Combine all simplified terms

$-3x^5 + 18x^2 + 0$

Answer:

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