Question

(x−2)(x−3)2​−(x−1)(x−3)2​+(x−1)(x−2)1​

Answer 1

k = - 1/2

Step-by-step explanation:

Let's solve for k.

(x+2)(x-3)+2x-1=x2-2kx-7

Step 1: Flip the equation.

-2kx+x^2-7=x^2+x-7

Step 2: Add 7 to both sides.

-2kx+x^2-7+7=x^2+x-7+7

-2kx+x^2=x^2+x

Step 3: Add -x^2 to both sides.

-2kx+x^2+-x^2=x^2+x+-x^2

-2kx=x

Step 4: Divide both sides by -2x.

- 2kx / - 2 * x = x / - 2 * x

k = - 1/2

Answer 2

Answer:

(x-2)(x-3)2-(x-1)(x-3)2+(x-1)(x-2)1

=>2(x²-5x+6)-2(x²-4x+3)+x²-3x+2

=>2x²-10x+12-2x²+8x-6+x²-3x+2

=>x²-5x+8

Hope it helps