Question

Is the product of x-4 and 5x^2-3x+6 equal to the product of x+4 and -5x^2+2x-6?

Answer 1

Not equal

Explanation:

To find if they are equal, find the product of each first by multiplying each term using exponent rules.

`(x-4)(5x^2-3x+6) \\\\5x^3 -20x^2 - 3x^2 + 12x + 6x - 24\\\\ 5x^3 - 23x^2 + 18x - 24`

and

`(x+4)(-5x^2+2x-6)\\\\-5x^3 - 20x^2 + 2x^2+8x-6x-24\\\\-5x^3-18x^2 +2x - 24`

These expressions are not the same.