Question

(x-2)(x-11) - 2x(4-3x) =

Answer 1

Х²-11х-2х+22-8х+6х²
7х²-21х+22

Answer 2

To simplify the expression (x-2)(x-11) - 2x(4-3x), you can follow these steps:

1. First, use the distributive property to expand both sets of parentheses:

(x-2)(x-11) = x(x) - x(11) - 2(11) + 2(2) = x^2 - 11x - 22 + 4

2x(4-3x) = 2x(4) - 2x(3x) = 8x - 6x^2

2. Now, combine the terms:

x^2 - 11x - 22 + 4 - (8x - 6x^2)

3. Distribute the negative sign into the second set of parentheses:

x^2 - 11x - 22 + 4 - 8x + 6x^2

4. Combine like terms:

x^2 + 6x^2 - 11x - 8x - 22 + 4

5. Combine the x^2 terms and the x terms:

7x^2 - 19x - 18

So, the simplified expression is 7x^2 - 19x - 18.