To solve this equation, we will first expand the expression on the left side of the equation:
(x-1)(x+1) - (x-1)
Expanding the first term using the distributive property:
= x^2 + x - x - 1 - (x-1)
Simplify by combining like terms:
= x^2 - 1
Now set the expression equal to 0 and solve for x:
x^2 - 1 = 0
Add 1 to both sides:
x^2 = 1
Take the square root of both sides:
x = ±1
The solutions to the equation are x = 1 and x = -1.
To solve this equation, we will first expand the expression on the left side of the equation:
(x-1)(x+1) - (x-1)
Expanding the first term using the distributive property:
= x^2 + x - x - 1 - (x-1)
Simplify by combining like terms:
= x^2 - 1
Now set the expression equal to 0 and solve for x:
x^2 - 1 = 0
Add 1 to both sides:
x^2 = 1
Take the square root of both sides:
x = ±1
The solutions to the equation are x = 1 and x = -1.