what must be added to (x+2) to complete the factors of (x³+8)​

Sagot :

Answer:

x

3

8

is the difference of two cubes and can be factored in the following pattern.

a

3

b

3

=

(

a

b

)

(

a

2

+

a

b

+

b

2

)

a

3

factors to a

b

3

factors to b

The pattern of the signs follows the acronym SOAP

S = same sign as the cubes

O = opposite sins of the cubes

AP = always positive

x

3

factors to x

8

factors to 2

x

3

8

=

(

x

2

)

(

x

2

+

4

x

+

4

)

Hope it help ! :D