Is the product of - 5 + x and x+4 equal to the product of 5+x and x-4? Explain your answer.

Let's find out!

-5 + x * x + 4.

-5 + x^2 + 4.

-5 + 4 + x^2.

-1 + x^2.

5 + x * x - 4.

5 + x^2 - 4.

5 - 4 + x^2.

1 + x^2

So, they are NOT the same, because one of the "1"'s are negative, and the other is positive.

The product of - 5+x and x+4 is not equal to 5+x and x-4

Step-by-step explanation:

If we substitute x for 1, we can solve the first equation and get - 20. However, when we solve the second equation, we get the answer - 18. These products are not equal and therefore the answer would be no. If we substitute x for 2 to check our answer, we find that the first equation is - 18. the second equation is - 14. This proves that they are not equal.