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

Answer:

First trinomial:

$5x+6y+7$

Second trinomial:

$2x+y+1$

Sum:

$7x+7y+8$

Difference:

$3x+5y+6$

Step-by-step 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:

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