Math, asked by aqsa34, 11 months ago

find the value of (2x+1)3​

Answers

Answered by duragpalsingh
7

Hey there!

Answer:

8x³ + 18x + 1

Step-by-step explanation:

Given,

(2x + 1)³

= (2x)³ + 1³ + 3 * 2x * 1 (2x + 1)

= 8x³ + 1 + 6x ( 2x + 1)

= 8x³ + 1 + 12x + 6x

= 8x³ + 18x + 1

Hope It Helps You!

Answered by dualadmire
1

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

Given: ( 2x + 1 )³

To Find: The value of ( 2x + 1 )³

Solution:

  • The answer to this question can be calculated by applying the formula for the cube of a function, which states;

        ( a + b )³ = a³ + b³ + 3 ab ( a + b )

According to this formula;

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

                         =    8x³ + 1 + 6x ( 2x + 1)

                         =    8x³ + 1 + 12x² + 6x

                         =    8x³ + 12x² + 6x + 1

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

#SPJ3

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