To simplify the given expression, we need to first expand the terms:
(2x - 1)(2x + 1) x(1 - x)
= (4x^2 - 1) * (x - x^2)
Now, multiply these two terms:
= 4x^3 - 4x^2 - x + x^2
Rearrange the terms:
= 4x^3 - 3x^2 - x
Factor out a common factor of x:
= x(4x^2 - 3x - 1)
Now, we can simplify the expression:
= x(4x - 1)(x + 1)
Thus, (2x - 1)(2x + 1) x(1 - x) = 2x(x + 1)
To simplify the given expression, we need to first expand the terms:
(2x - 1)(2x + 1) x(1 - x)
= (4x^2 - 1) * (x - x^2)
Now, multiply these two terms:
= 4x^3 - 4x^2 - x + x^2
Rearrange the terms:
= 4x^3 - 3x^2 - x
Factor out a common factor of x:
= x(4x^2 - 3x - 1)
Now, we can simplify the expression:
= x(4x - 1)(x + 1)
Thus, (2x - 1)(2x + 1) x(1 - x) = 2x(x + 1)