prove that the value of the expression does not depend on the value of x. (x-5)(x+8)-(x+4)(x-1)

Answer 1

Proof:

We can rewrite the expression as follows:

(x-5)(x+8)-(x+4)(x-1) = (x² + 3x - 40) - (x² + 3x - 4)

Simplifying, we get:

(x-5)(x+8)-(x+4)(x-1) = -36

Since the expression is a constant, it does not depend on the value of x.