Question

Using the pattern for factoring the sum of cubes, we know that factoring 8+b3 gives

Answer 1

Answer:

( 2+ b )( 4- 2b + b2 )

Step-by-step explanation:

Answer 2

Factoring 8 + b³ gives (2 + b) (4 - 2b + b² )

Given : The expression 8 + b³

To find : Using the pattern for factoring the sum of cubes 8 + b³ gives

Tip :

Formula : a³ + b³ = (a + b) (a² - ab + b²)

Solution :

Step 1 of 2 :

Write down the given expression

The given expression is

8 + b³

Step 2 of 2 :

Use the formula a³ + b³ = (a + b) (a² - ab + b²)

We factorise the given expression as below

$\sf 8 + {b}^{3}$

$\sf = {2}^{3} + {b}^{3}$

$\sf =(2 + b)( {2}^{2} - 2.b + {b}^{2})$

$\sf =(2 + b)( 4 - 2b + {b}^{2})$

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