Question

Factorise:8-27x^3+54x^2-36x​

Answer 1

Step-by-step explanation:

Notice that the ratio between the first and second coefficients is not the same as that between the third and fourth.

That is:

27

54

≠

36

8

So this does not factor by grouping.

Note that the first and last terms are both perfect cubes:

27

x

3

=

(

3

x

)

3

8

=

2

3

So we might try

(

3

x

+

2

)

3

:

(

3

x

+

2

)

3

=

27

x

3

+

54

x

2

+

36

x

+

8

Answer 2

Step-by-step explanation:

8-27x^3-36x+54x^2

2^3+(-3x)^3+3(2)^2(-3x)+3(2)-(3x)^2

(2-3x)^3

(2-3x)(2-3x)(2-3x) see if right I am sure it is