The book I am using gave factoring expressions raised to powers a very brief run through and a few examples, but the authors examples dont make any sense.

Could some one please provide detailed, clear instructions to walk me through this problem and explain whats going on?

expression

$\displaystyle 2(x^2-6)^9+(x^2-6)^4+4(x^2-6)^3+(x^2-6)^2$

the book gives the answer as$\displaystyle [2(x^2-6)^7+(x^2-6)^2+4x^2-23](x^2-6)^2$