Question

6(x^3-64)

Answer 1

simplify?

Answer 2

how

Answer 3

Do you need to factorize it or expand it?

Answer 4

factorize

Answer 5

Use \(a^3 - b^3 = (a-b)(a^2+ab+b^2)\)

Answer 6

FYI, 64=4^3

Answer 7

I believe the answer is:
\[6x^3+384\]

Answer 8

i started off with 6x^3 +384

Answer 9

distribution :)
sir abbot is right

Answer 10

Factorize.. not expand..

Answer 11

And if you started from 6x^3 +384, you shouldn't get 6(x^3-64)...

Answer 12

i got 6(x^3-64)

Answer 13

What is the original question?

Answer 14

factor 6x^3-384

Answer 15

= 6x^3-384 or 6(x-4)(x^2+4x+16)

Answer 16

@mike12 Then you did right.
6x^3-384
= 6(x^3 - 64)
Note that 64 can be written as 4^3, so you get
= 6(x^3 - 4^3)
Next apply the identity \(a^3-b^3 = (a-b)(a^2+ab+b^2)\) to factorize x^3 - 4^3. Can you do it?

Answer 17

ill try

Answer 18

give me a second

Answer 19

Take your time :)

Answer 20

lol yeah im pretty lost

Answer 21

Where?

Answer 22

applying the identity

Answer 23

Have you learnt that identity yet?

Answer 24

yeah but actually trying to sub it in...having troubles

Answer 25

What troubles?
Can you show your work?

Answer 26

honestly just plugging in the equation... i dont know what to plug in or where

Answer 27

Compare
\(x^3 - 4^3 \) and
\(a^3-b^3\)
Can you identify what is a and b?

Answer 28

yeah

Answer 29

What are they then?

Answer 30

@mike12 What are a and b...???