Question

find the value of (2x + 1)³​

Answer 1

Answer:

8x^3+1

Step-by-step explanation:

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Answer 2

The value of (2x + 1)³ is 8x³ + 12x² + 6x + 1.

Given:

The expression (2x + 1)³​.

To Find:

The value of (2x + 1)³​.

Solution:

To solve this problem, we will use the following identity:

For two numbers 'a' and 'b',

(a+b)³​ = a³ + 3a²b + 3ab² + b³.

We have to find the value of (2x + 1)³.

Let a = 2x and b = 1.

Using the above identity, we have:

(2x + 1)³ = (2x)³ + 3(2x)²(1) + 3(2x)(1)² + 1³

⇒ (2x + 1)³ = 8x³ + 12x² + 6x + 1.

Hence. the value of (2x + 1)³ is 8x³ + 12x² + 6x + 1.

∴ The correct answer is 8x³ + 12x² + 6x + 1.

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