Question

which expression is equivalent to $6x^{3}-3x^{2}+2x - 5$ after combining like terms?
a. $6x^{3}-3x + 2 - 5$
b. $3x^{3}+6x - 5$
c. $5x^{3}-2x^{2}+3x - 5$
d. $6x^{3}-3x^{2}+2x - 5$

Explanation:

Step1: Identify like terms

Like terms have same variable exponents: $6x^3$ (no match), $-3x^2$ (no match), $2x$ (no match), $-5$ (no match).

Step2: Combine like terms

No terms can be combined, so the expression stays unchanged.

Answer:

d. $6x^3 - 3x^2 + 2x - 5$