Question

2 X 3X 7X a X a X a X b X b X c are the factors of which algebraic term?​

Answer 1

Given :  2 x 3 x 7 x a x a x a x b x b x c

To Find :  Given factors are of which algebraic term?*

1️⃣ 21a³b²c 2️⃣ 24a³b²c 3️⃣ 42a³b²c 4️⃣ 42a²b³c

Solution:

2 x 3 x 7 x a x a x a x b x b x c

= 6 x 7 x a x a x a x b x b x c

= 42  x a x a x a x b x b x c

= 42 x a³ x b x b x c

= 42 x a³ x b² x c

= 42a³b²c

2 x 3 x 7 x a x a x a x b x b x c   are the factors of 42a³b²c  

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Answer 2

Given:

2x3x7xaxaxaxbxbxc

To find:

write the given factors into algebraic term

Solution:

2x3x7xaxaxaxbxbxc

Multiply the numericals

2 x 3 x 7 = 42

Now, multiply the variables

a x a x a = a³

b x b = b²

c = c

So, the required algebraic term is 42a³b²c

Hence, the correct answer is option 3 => 42a³b²c