Question

(1-х)(х+1)+(х-1)^2=?

Answer 1

(1-х)(х+1)+(х-1)^2= 1²-х² + х²-х+1 = 2-х

Answer 2

To simplify the expression, let's expand the terms and then combine like terms:

(1-х)(х+1) + (х-1)^2

Step 1: Expand the first term using the distributive property (FOIL method): (1-х)(х+1) = х + х(1) - х - 1 = х - х - 1 = -1

Step 2: Expand the second term (х-1)^2 using the square of a binomial formula: (х-1)^2 = (х-1)(х-1) = х*х - х - х + 1 = х^2 - 2х + 1

Now, add the expanded terms together:

-1 + х^2 - 2х + 1

The -х term and the +1 term cancel each other out, leaving us with:

х^2 - 2х

So, (1-х)(х+1) + (х-1)^2 simplifies to:

х^2 - 2х