Which expressions are equivalent to z + (z + 6)z+(z+6)z, plus, left parenthesis, z, plus, 6, right parenthesis ?

question- z+(z+6)=

Respuesta :

Answer:

[tex]2(z+3)[/tex]

Step-by-step explanation:

We are given that  the expression

[tex]z+(z+6)[/tex]

We have to find the expression which is equivalent to given expression.

[tex]z+z+6[/tex]

To find the equivalent expression we will combine like terms

Now, combine like terms we get

[tex](z+z)+6[/tex]

[tex]2z+6[/tex]

By using the property

[tex]a+a+..+a(n times)=na[/tex]

Therefore, the expression we get

[tex]2z+6[/tex]

Now, taking common 2

[tex]2(z+3)[/tex]

Hence, the expression which is equivalent to given expression is given by

[tex]2(z+3)[/tex]

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