5a2b – 13ab + 7a3 – 4b how many degrees, and classify the term
To determine the degree and classify each term in the expression 5a^2b - 13ab + 7a^3 - 4b, we need to analyze the variables in each term.
Let's start by identifying the variables in the expression:
- The variables are a and b.
Now, we can look at each term individually:
1. 5a^2b:
- In this term, we have a^2 and b.
- The degree of a^2 is 2 (since the exponent is 2), and the degree of b is 1 (since it has no explicit exponent).
- The total degree of this term is the sum of the individual degrees, which is 2 + 1 = 3.
- Therefore, 5a^2b is a term of degree 3.
2. -13ab:
- In this term, we have a and b.
- The degree of a is 1 (since it has no explicit exponent), and the degree of b is also 1.
- The total degree of this term is the sum of the individual degrees, which is 1 + 1 = 2.
- Therefore, -13ab is a term of degree 2.
3. 7a^3:
- In this term, we only have a^3.
- The degree of a^3 is 3 (since the exponent is 3), and there are no other variables.
- Therefore, 7a^3 is a term of degree 3.
4. -4b:
- In this term, we only have b.
- The degree of b is 1 (since it has no explicit exponent), and there are no other variables.
- Therefore, -4b is a term of degree 1.
In summary, the degrees and classifications of the terms in the expression are as follows:
- 5a^2b is a term of degree 3.
- -13ab is a term of degree 2.
- 7a^3 is a term of degree 3.
- -4b is a term of degree 1.