Question

4m-2+3m+5 terms, like terms, coefficient, and constant

Answer 1

Answer:

• As the expression $4m-2+3m+5$ has terms 4m, -2, 3m and 4. So, there are total four terms.

• The constants in the expression $4m-2+3m+5$ are -2 and 5.

• There are two sets of like terms in the expression $4m-2+3m+5$. 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 $4m-2+3m+5$ are 4 and 3.

Step-by-step explanation:

As the given algebraic expression is

$4m-2+3m+5$

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 $4m-2+3m+5$ now.

According to discussion we have,

$4m-2+3m+5$

• As the expression $4m-2+3m+5$ has terms 4m, -2, 3m and 4. So, there are total four terms.

• The constants in the expression $4m-2+3m+5$ are -2 and 5.

• There are two sets of like terms in the expression $4m-2+3m+5$. 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 $4m-2+3m+5$ are 4 and 3.

Keywords: like terms, coefficients, constants

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