Question

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

Answer 1

=x^2-11x-2x+22-8x+6x^2=7x^2-21x+22

Answer 2

To simplify the given expression, let's start by expanding the two terms within the parentheses and then combining like terms:

Given expression: (x - 2)(x - 11) - 2x(4 - 3x)

Step 1: Expand the first term using the distributive property (FOIL method): (x - 2)(x - 11) = x^2 - 11x - 2x + 22 = x^2 - 13x + 22

Step 2: Expand the second term: -2x(4 - 3x) = -2x * 4 + (-2x) * (-3x) = -8x + 6x^2

Now we can substitute the expanded expressions back into the original expression:

Original expression: (x^2 - 13x + 22) - (8x + 6x^2)

Now let's combine like terms by adding or subtracting coefficients of the same power of x:

x^2 + (-6x^2) - 13x + (-8x) + 22 = -5x^2 - 21x + 22

So, the simplified expression is: -5x^2 - 21x + 22