Question

which expressions are equivalent to z+(z+6)

Answer 1

The expression z+(z+6) can be written as (z+z)+6

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Answer 2

Given that the expression is z+(z+6)

TO FIND :

The equivalent expression to the give expression

SOLUTION :

From the given expression z+ (z+6)

z+ (z+6)

=z+z+6

Adding the like terms

=2z+6

Taking the common term 2 outside of the above expression

=2(z+3)

Therefore z+ (z+6)  =2(z+3)

Therefore the other given optional expressions are not equivalent to the given expression.

The option 2(z+3) is correct and it is the equivalent expression.

Hence the given expression z+ (z+6)  is equivalent to the expression 2(z+3)