The correct option is
B 5xy+5yz+2xzWe 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+3yz−4xz. This sum can be evaluated as:
The sum of
3x+7yz+8xz and
−2xy+3yz−4xz is
xy+10yz+4xz.
Step 2:––––––––
Now, we would add the sum of
3x+7yz+8xz and
−2xy+3yz−4xz, i.e.,
xy+10yz+4xz to
4xy−5yz−2xz. This can be evaluated as:
The sum of all the three brackets is
5xy+5yz+2xz––––––––––––––––––. Therefore, option (b.) is the correct answer.