(2×-1)2=(×+1)2 Brainly

2 min read Jun 07, 2024

Expanded Form

Let's break down the equation (2x - 1)^2 = (x + 1)^2 and see what we can learn from it.

To expand the left side of the equation, we need to follow the order of operations (PEMDAS):

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

Multiply the two binomials:

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

So, the expanded form of the left side is 4x^2 - 4x + 1.

Now, let's expand the right side of the equation:

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

Multiply the two binomials:

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

So, the expanded form of the right side is x^2 + 2x + 1.

Now that we have expanded both sides of the equation, we can compare them:

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

What can we conclude from this equation?