Explanation:
Hello! You forgot to attach the expressions, so I'll explain this in a general way and providing my own example. When two expressions are basically the same, we call them equivalent expressions. That is, even though we may see they look different, when plugging in the same variable value into equivalent expressions, we will get the same value when we simplify. For instance:
[tex]E_{1}:\text{Expression 1} \\ \\ E_{2}:\text{Expression 2} \\ \\ \\ E_{1}=xy+2x^2y^3 \\ \\ E_{2}=xy(1+2xy^2)[/tex]
So both expressions are equivalent because they are basically the same. We just factored out expression 1 in order to get expression 2. So if we plug in [tex]x=3 \ and \ y=2[/tex] we get:
[tex]E_{1}=(3)(2)+2(3)^2(2)^3=6+2(9)(8)=6+144=150 \\ \\ E_{2}=(3)(2)(1+2(3)(2)^2)=6(1+2(3)(4))=6(1+24)=6(25)=150[/tex]
As you can see, when [tex]x=3 \ and \ y=2[/tex] we get the same value 150 for both expression 1 and 2. Therefore, these two expressions are equivalent.
