Question

Factor out x^3-27x^6

Answer 1

@hartnn @Callisto @phi

Answer 2

first factor out x^3 from both the terms, what u get ?

Answer 3

actuall thats the wrong equation: its 8x^3-27x^6

Answer 4

still, you'll be able to factor out x^3

Answer 5

x^3(8-27x^3)

Answer 6

yes,

8 is the cube of which number ?
27 is the cube of which number
x is the cube of which variable ?

Answer 7

would it be X^3(2-3x)(4+6x+9x^2) and how would I solve this to find the solutions?

Answer 8

thats correct, and why do u need to solve it ?
when the question just says to factorize ?

Answer 9

Thats what my teacher wants to to do, she said find the solution

Answer 10

can you solve quadratics ?
know the quadratic formula ?

Answer 11

yes so I just solve it using the new equation or original equation?

Answer 12

\( x^3(2-3x)(4+6x+9x^2) = 0 \\ x^3 = 0, \quad x=...? \\ 2-3x= 0, \quad x=...? \\(4+6x+9x^2) = 0, use ~ quadratic formula \)

Answer 13

ok thanks

Answer 14

welcome ^_^