How to Multiply the Expression (2x+1)(x-1) and Simplify

(2x+1)(x-1)

To multiply the expression (2x+1)(x-1), you can use the distributive property

To multiply the expression (2x+1)(x-1), you can use the distributive property. This property states that for any expressions a, b, and c, the product of (a+b)(c) is equal to ac + bc.

Let’s apply this property to the given expression:

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

Now, let’s simplify each term:

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

Combining these simplified terms, we get:

2x^2 – 2x + x – 1

Now, let’s simplify further:

2x^2 – x – 1

This is the final simplified expression. Therefore, (2x+1)(x-1) simplifies to 2x^2 – x – 1.

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