Answer :
Answer:
- As the expression [tex]4m-2+3m+5[/tex] has terms 4m, -2, 3m and 4. So, there are total four terms.
- The constants in the expression [tex]4m-2+3m+5[/tex] are -2 and 5.
- There are two sets of like terms in the expression [tex]4m-2+3m+5[/tex]. 4m and 3m are like terms. Also the constants -2, and 5 are like terms. Like terms can be combined.
- The coefficients in the expression [tex]4m-2+3m+5[/tex] are 4 and 3.
Step-by-step explanation:
As the given algebraic expression is
[tex]4m-2+3m+5[/tex]
We have to determine
- total number of terms
- like terms
- coefficient
- constant
As
- The coefficients are the numbers that multiply the variables or letters. For example the term 3m has the coefficient 3 which multiplies the variable 3.
- Like terms are considered the terms which contain the same variable raised to the same power. For example, 2x + 4x has the like terms 2x and 4x.
- Constants are said to be the terms without variables. For example, the algebraic expression 2x + 4x + 6 has a constant which is 6.
Let's check the expression [tex]4m-2+3m+5[/tex] now.
According to discussion we have,
[tex]4m-2+3m+5[/tex]
- As the expression [tex]4m-2+3m+5[/tex] has terms 4m, -2, 3m and 4. So, there are total four terms.
- The constants in the expression [tex]4m-2+3m+5[/tex] are -2 and 5.
- There are two sets of like terms in the expression [tex]4m-2+3m+5[/tex]. 4m and 3m are like terms. Also the constants -2, and 5 are like terms. Like terms can be combined.
- The coefficients in the expression [tex]4m-2+3m+5[/tex] are 4 and 3.
Keywords: like terms, coefficients, constants
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