Question

Explaining the similarities in the steps for 7+4(5-3)^2+9/3 AND9/3+(5-3)^2x4+7

Answer 1

Given:

`\begin{gathered} 7+4(5-3)^2+(9)/(3)-------(1) \\ AND \\ (9)/(3)+(5-3)^2*4+7---------(2) \end{gathered}`

Required:

To explain the similarities in the steps.

Step-by-step explanation:

The given two equations are same.

Now the commutative property of addition and multiplication is,

`\begin{gathered} a+b=b+a \\ ab=ba \end{gathered}`

Therefore, In the first equation 7 is added first and 9/3 is in last.

But in second 9/3 is in first and 7 is added to last.

Both are same.

And in the first 4 is multiplied first, but second it is last.

`4*(5-3)^2=(5-3)^2*4`

Final Answer:

The given two equations are same.