Question

How many like terms are in the expression? 14 x minus 14 y 7 minus x z 2 x 0 2 3 5.

Answer 1

Like terms are those terms, which have the common variable with same powers.

The number of like terms in the given expression are 3, which is $(14x,-x,2x)$. the option 3 is the correct option.

What is like terms?

In the algebra or the algebraic expression the like terms are those terms, which have the common variable with same powers.

Given information-

The given expression in the problem is,

$14 x -14 y+ 7 - x+ z+ 2 x$

The given expression is the algebraic expression which 3 number of unknowns variables.

There is total 6 terms in the given expression. In which 5 terms consists the variables and one term is constant.

In the given expression,

• The total number of terms with variable x are 3 which are,$(14x,-x,2x)$.

• The total number of terms with variable y is 2 which is $-14y$.

• The total number of terms with variable z is 1 which is $z$.

• The total number of constant terms is 1 which is 7.

Thus the number of like terms in the given expression are 3, which is $(14x,-x,2x)$. the option 3 is the correct option.

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