Question

Factorise it please show full solution

Answer 1

irst let's notice that x6=(x3)2

Let r=x3

Using substitution we have

r2−26r−27

We now look for the factors of −27 that will combine (add) to make −26

We find that −27 and 1 multiply to be −27 and add to be −26. This gives us

(r−27)(r+1)

Now substitute x3 back in for r

(x3−27)(x3+1)

We should recognize this as a difference of cubes and a sum of cubes.

(x−3)(x2+3x+9)(x+1)(x2−x+1).

Hope it will be helpful.

Answer 2

See the solution in attach file