Question

1. $(2x - 1)^2 = $

Explanation:

Step1: Recall the perfect square formula

The perfect square formula is \((a - b)^2 = a^2 - 2ab + b^2\). Here, \(a = 2x\) and \(b = 1\).

Step2: Substitute \(a\) and \(b\) into the formula

First, calculate \(a^2=(2x)^2 = 4x^2\), then \(2ab = 2\times(2x)\times1 = 4x\), and \(b^2 = 1^2 = 1\).
Then, \((2x - 1)^2=(2x)^2-2\times(2x)\times1 + 1^2\)

Step3: Simplify the expression

Simplify the above expression: \(4x^2-4x + 1\)

Answer:

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