Question

Select the expression that is not equivalent to 25a + 30x+ 20 + 25w I will send image

Answer 1

2(5a+2w+2+6x+3w

Step-by-step explanation:

Given the below expression;

`25a+30x+20+25w`

Let's go ahead and expand each of the given expressions in the options and see which of them is equivalent to the given expression and the one that's not.

Expanding the 1st expression, we'll have;

`\begin{gathered} 5(4+3w+2w+5a+3x+3x) \\ =5(4+5w+5a+6x) \\ =20+25w+25a+30x \end{gathered}`

We can see that the 1st option is equivalent.

Expanding the 2nd expression, we'll have;

`\begin{gathered} 5(3w+3x+4+3x+5a+2w) \\ =5(5w+6x+4+5a) \\ =25w+30x+20+25a) \end{gathered}`

We can also see that the 2nd option too is equivalent.

Expanding the 3rd expression, we'll have;

`\begin{gathered} 5(5a+4+6x+5w) \\ =25a+20+30x+25w \end{gathered}`

We can also see that the 3rd option too is equivalent.

Expanding the 4th expression, we'll have;

`\begin{gathered} 2(5a+2w+2+6x+3w) \\ =2(5a+5w+2+6x) \\ =10a+10w+4+12x \end{gathered}`

We can see that this is the correct option because it is not equivalent to the given expression.