Question

let's write two trinomial expressions of the form ax+by+c ,where a,b,and c are integers.find the sum and difference of your expressions.

Answer 1

First trinomial:

`5x+6y+7`

Second trinomial:

`2x+y+1`

Sum:

`7x+7y+8`

Difference:

`3x+5y+6`

Explanation:

Let our first trinomial be:

`5x+6y+7`

And let our second trinomial be:

`2x+y+1`

The sum would be:

`\begin{gathered} 5x+6y+7+(2x+y+1) \\ \rightarrow5x+6y+7+2x+y+1 \\ \\ \Rightarrow7x+7y+8 \end{gathered}`

And the difference would be:

`\begin{gathered} 5x+6y+7-(2x+y+1) \\ \\ \rightarrow5x+6y+7-2x-y-1 \\ \\ \Rightarrow3x+5y+6 \end{gathered}`