Question

Write down the square of 2x-1

Answer 1

Answer:

x = 1/2         or        1/2

Step-by-step explanation:

(2x - 1)²

{Using identity : (a - b)² = a² + b² - 2ab}

(2x)² + (1)² - 2(2x)(1)

4x² + 1 - 4x

4x² - 4x + 1 = 0

4x² - 2x - 2x + 1 = 0

2x(2x - 1) -1(2x - 1) = 0

(2x - 1)(2x - 1) = 0

2x - 1 = 0                  2x - 1 = 0

2x = 1                       2x = 1

x = $\frac{1}{2}$                          x  =$\frac{1}{2}$

Answer 2

(2x-1)²,

using the identity (a-b)² = a²+b²-2ab

we get (2x-1)²= (2x)²+1²-2(2x)(1) = 4x²+1+4x

thanks