Question

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

Answer 1

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.

Answer 2

Answer:

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.