Select the correct answer. What is the factored form of x3 + 216?
А.(x-6)(x2 + 6x + 36)
B. (x + 6)(x2 - 6x +36)
C.(x + 6)(x2 - 12x+36)
D. (x+6)(x2 + 12x + 36)

А.(x-6)(x2 + 6x + 36)

Step-by-step explanation:

Remember this formula for factorizing difference of 2 cubes:

a

3

−

b

3

=

(

a

−

b

)

(

a

2

+

a

b

+

b

2

)

In

x

3

−

216

,

a

3

=

x

3

b

3

=

216

a

=

3

√

x

3

=

x

b

=

3

√

216

=

6

Substitute

a

=

x

,

b

=

6

into the formula of

(

a

−

b

)

(

a

2

+

a

b

+

b

2

)

(

x

−

6

)

(

x

2

+ (

6

x

x

) +

6

2

)

=

(

x

−

6

)

(

x

2

+

6

x

+

36

)

(

x

−

6

)

(

x

2

+

6

x

+

36

)

is the factorized form of

x

3

−

216

98%

step-by-step explanation:

c

step-by-step explanation: