Question

(x-4)(x-6)-(x-2)(x+2)

Answer 1

Раскроем скобки: (x²-10x+24) - (x²-4) = x²-10x+24-x²+4 = -10x+28

Answer 2

Let's simplify the expression:

(x - 4)(x - 6) - (x - 2)(x + 2)

Expanding the terms within each set of parentheses:

= (x^2 - 6x - 4x + 24) - (x^2 + 2x - 2x - 4)

Now, combining like terms:

= x^2 - 10x + 24 - x^2 - 4

The x^2 terms cancel out, and we're left with:

= -10x + 20

So the simplified expression is -10x + 20.