Question

which of the following pairs of terms is pair of like terms​

Answer 1

Answer:

Like algebraic terms are the terms who have the same variables but can have different constants.

For example: 2x

2 is the constant and x is the variable.

The power of the variable has to be exactly same for two like terms.

So, (c): 3x

3

and (d): 4x

3

has powers same i.e. 3.

Answer 2

Which of the following pairs is/are like terms?

$(a) x$            $(b) x^{2}$        $(c) 3 x^{3}$       $(d) 4 x^{3}$

$A) a, b$

$B)b, c$

$C)c, d$

$D) a, c$

Answer:

The correct answer is option $C)c, d$.

Step-by-step explanation:

Like terms are terms that have the exact variables and powers. The coefficients do not require to match

$(a) x$            

$(b) x^{2}$        

$(c) 3 x^{3}$      

$(d) 4 x^{3}$

As per the given definition (c) and (d) have the exact exponents. So, c and d are pairs of like terms.

The correct answer is option $C)c, d$.

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