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Question

Add: (3xy+7yz+8xz)+(−2xy+3yz−4xz)
+(4xy−5yz−2xz)

A
xy+10yz+4xz
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B
5xy+5yz+2xz
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C
5xy+2yz+5xz
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D
2xy+5yz+5zx
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Solution

The correct option is B 5xy+5yz+2xz
We know, only like terms can be added together.
Like terms having literal factor as xy: 3xy,2xy,4xy
Like terms having literal factor as yz: 7yz,3yz,5yz
Like terms having literal factor as xz: 8xz,4xz,2xz

Step 1:––––––
First we would add the two brackets 3x+7yz+8xz and 2xy+3yz4xz. This sum can be evaluated as:

The sum of 3x+7yz+8xz and 2xy+3yz4xz is xy+10yz+4xz.

Step 2:––––––
Now, we would add the sum of 3x+7yz+8xz and 2xy+3yz4xz, i.e., xy+10yz+4xz to 4xy5yz2xz. This can be evaluated as:


The sum of all the three brackets is 5xy+5yz+2xz––––––––––––––––. Therefore, option (b.) is the correct answer.

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