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

a

step-by-step explanation:

when a number is between two straight lines it means the absolute value.

to find absolute value you need to know how many numbers is that number away from 0.

when finding absolute value the number will always come out positive

so absolute value of -3 is 3

absolute value of 3/2 is 3/2

absolute value of -2 is 2

absolute value of 3.5 is 3.5

absolute value of -1 is 1

now put these numbers in order:

a)   |-1|, |3/2|, |-2|, |-3|, |3.5|

answer:   c ?

step-by-step explanation: