Which expression is equivalent to:
25a + 5b - 13

Answer:
The correct option is 4.
Step-by-step explanation:
The given expression is
[tex]25a+5b-13[/tex]
In option (1), the given expression is
[tex]20a+5a+b-13[/tex]
Combine like terms.
[tex]25a+b-13[/tex]
This expression is not equivalent to the given expression.
In option (2), the given expression is
[tex]20(5a+5b)-13[/tex]
Using distributive property.
[tex]100a+100b-13[/tex]
This expression is not equivalent to the given expression.
In option (3), the given expression is
[tex]30ab-13[/tex]
This expression is not equivalent to the given expression.
In option (4), the given expression is
[tex]5(5a+b)-13[/tex]
Using distributive property.
[tex]25a+5b-13[/tex]
This expression is equivalent to the given expression.
Therefore correct option is 4.