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Question

Arrange the following in the decreasing order based on the number of terms in the result after addition.

A
x, -x
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B
2x+3y,z+k
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C
x+5x,8y+3y
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D
9x, 6y +z
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Solution

Let's add given expressions:

1. x, -x

x-x= 0

So, number of terms = 1

2. 2x+3y,z+k

2x+3y,z+k = 2x+3y+z+k

So, number of terms = 4

3. x+5x,8y+3y

x+5x+8y+3y =6x+11y

So, number of terms = 2

4. 9x, 6y +z

9x +6y +z = 9x +6y +z .

So, number of terms = 3


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