Like terms are those terms that are having the same variables, also the variables are of the same order as well. The correct option is A, − 6x³ − 6x; is a polynomial.
What are Like terms?
Like terms are those terms that are having the same variables, also the variables are of the same order as well.
for example, 25x and 5x are like terms; 30xy and 7xy are like terms, 9x³ and 4x² are not like terms, etc.
The given expression can be simplified as shown below.
(4x³ + 3x² − 6x) − (10x³ + 3x²)
Open both brackets, this will change the sign of the terms in the second bracket.
= 4x³ + 3x² − 6x − 10x³ − 3x²
Bring the like terms, together to simplify the like terms,
= 4x³ − 10x³ + 3x² − 3x² − 6x
Simplify the like terms,
= − 6x³ − 6x
A polynomial is a mathematical expression involving variables raised with non-negative integers and coefficients, and constants with only operations of addition, subtraction, multiplication and non-negative exponentiation of variables involved. Therefore, − 6x³ − 6x is polynomial.
Hence, the correct simplification of the expression (4x³ + 3x² − 6x) − (10x³ + 3x²) is − 6x³ − 6x, and it is a polynomial.
Learn more about Like Terms:
https://brainly.com/question/2513478
#SPJ5
