(x + 6y − 5z) − (x − 2y + 4z)
Classify the answer by number of terms and degree.
1st-degree monomial
1st-degree binomial
1st-degree trinomial
2nd-degree binomial
2nd-degree trinomial
all linear terms, so it will be 1st degree.
Notices that the x's go away, so it will be a binomial.
so to simplify this would the answer be
4y-z?
To classify the answer by the number of terms and degree, we first need to simplify the given expression:
(x + 6y − 5z) − (x − 2y + 4z)
To simplify this, we need to remove the parentheses by distributing the minus sign to each term inside the parentheses:
x + 6y - 5z - x + 2y - 4z
Now, combine like terms:
(x - x) + (6y + 2y) + (-5z - 4z)
The x terms cancel each other out (x - x = 0), leaving us with:
8y - 9z
Now that the expression is simplified, we can identify the number of terms and the degree:
Number of Terms: In the simplified expression 8y - 9z, we only have two terms, namely 8y and -9z.
Degree: The degree of a term is determined by the highest exponent of the variable in that term. In this case, both terms have a degree of 1, since there are no exponents present. Therefore, the degree of the expression is 1.
So, the correct classification for the answer is a 1st-degree binomial since it has two terms, each with a degree of 1.