Question

(2х-1)(2х+1)+х(х-1)=2х(х+1)-2=

Answer 1

Ответ:

2х²-1²+х²-х=2х²+2х-2

Answer 2

Let's simplify the given expression step by step:

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

First, apply the distributive property to both terms inside the first set of parentheses:

= (2x * 2x + 2x * 1 - 1 * 2x - 1 * 1) + x(x - 1)

Now, multiply the terms inside each set of parentheses:

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

Next, simplify the terms with like variables:

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

Now, apply the distributive property to the x(x - 1) term:

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

Combine like terms:

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

Combine the x^2 terms:

= 5x^2 - 1 - x

So, the simplified expression is 5x^2 - x - 1.