Question

(2х - 1)2 + (2х + 1) (2х - 1)

Answer 1

4х-2+4х²-1= 4х+4х²-3

Answer 2

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

(2x - 1)^2 + (2x + 1)(2x - 1)

Expanding the first term using the formula (a - b)^2 = a^2 - 2ab + b^2:

= (4x^2 - 4x + 1) + (2x + 1)(2x - 1)

Now, let's apply the distributive property to the second term:

= 4x^2 - 4x + 1 + (4x^2 - 2x + 2x - 1)

Combining like terms:

= 4x^2 - 4x + 1 + 4x^2 - 2x + 2x - 1

Grouping like terms:

= (4x^2 + 4x^2) + (-4x - 2x + 2x) + (1 - 1)

= 8x^2 - 4x

Therefore, (2x - 1)^2 + (2x + 1)(2x - 1) simplifies to 8x^2 - 4x.