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Q.

The sum of the terms $17 a 2 b c, 13 a b c 2$ and $5 a b 2 c$ and is

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a

17 a^{2} bc + 13 ab c^{2} + 5 a b^{2} c

b

17 a^{2} b + 13 ab c^{2} + 5 a b^{2} c

c

17 a^{2} bc + 13 a c^{2} + 5 a b^{2} c

d

17 a^{2} bc + 13 ab c^{2} + a b^{2} c

answer is A.

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Detailed Solution

The given terms are

17 a 2 b c, 13 a b c 2, 5 a b 2 c

.
We know that terms are different components of an algebraic equation that are separated by + or -.
Words with the same literal factors are called like terms, whereas terms with different literal factors are called unlike terms.
Here the given three terms are unlike terms because they have different literal factors.
So, sum =

17 a 2 b c + 13 a b c 2 + 5 a b 2 c

.
The correct option is (1).

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