find the value of (2x+1)3
Answers
Answered by
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
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
Similar questions