Question

Which of the following is the pair of like terms?
a. 2ab,bc
b. 3a, cb upon 3
c. bc, cb upon 3​

Answer 1

SOLUTION

TO CHOOSE THE CORRECT OPTION

Which of the following is the pair of like terms

a. 2ab,bc

$\displaystyle \sf{b. \: 3a \: , \: \frac{cb}{3} }$

$\displaystyle \sf{c. \: bc \: , \: \frac{cb}{3} }$

CONCEPT TO BE IMPLEMENTED

LIKE TERMS :

The like terms are defined as the terms that contain the same variable which is raised to the same power. In like terms the numerical coefficients may be different

EVALUATION

CHECKING FOR OPTION (a)

Two Terms are 2ab, bc

So the variables are ab and bc respectively

So the two Terms are not Like terms

CHECKING FOR OPTION (b)

Two Terms are

$\displaystyle \sf{ 3a \: , \: \frac{cb}{3} }$

So the variables are a , cb respectively

So the two Terms are not like terms

CHECKING FOR OPTION (c)

Two Terms are

$\displaystyle \sf{bc \: , \: \frac{cb}{3} }$

So the variables are bc , cb respectively

So the variables are same

So the two Terms are like terms

FINAL ANSWER

Hence the correct option is

$\displaystyle \sf{c. \: \: \: \: bc \: , \: \frac{cb}{3} }$

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