Question

sum of Xy, x+y and y+xy is=?

Answer 1

Step-by-step explanation:

xy + x+y+y+xy

2xy + 2y + x

2y ( x + x +1 )

2y ( 2x + 1)

Answer 2

Answer:

Here we should add the given three terms $xy$, $x+y$ and $y+xy$ and we get the solution is  $x+2y(1+x)$.

Step-by-step explanation:

For the addition operation we should use $+$ symbol.

Now apply this symbol to the given terms. It should be written as,

Sum of $xy,x+y$ and $y+xy$  $=xy+(x+y)+(y+xy)$

Now the above equation written without parenthesis.

 $=xy+x+y+y+xy$

Now add the same variables in the above equation. That is add the $x$ terms, $y$ terms and $xy$ terms.

In the above equation we have one $x$ term, two $y$ terms and two $xy$ terms.

That is,

$xy+x+y+y+xy=x+2y+2xy$

Now we can simplify the above equation. That is take away the common value from the equation. It should be written as,

$x+2y+2xy=x+2y(1+x)$

Final Answer is,

$xy+x+y+y+xy=x+2y(1+x)$