How do I simplify (x-5)+(x^2(x-5)) to (x^2+1)(x-5)?

[naicidrac]

Hello all,
I am stuck and need assistance. I need to know how my solutions manual goes from this (x-5)+(x^2(x-5)) to this (x^2+1)(x-5) ? Thanks for all the help.

Naicidrac

 

[HallsofIvy]

Hello all,
I am stuck and need assistance. I need to know how my solutions manual goes from this (x-5)+(x^2(x-5)) to this (x^2+1)(x-5) ? Thanks for all the help.

Naicidrac

Distributive law: a+ x²a= a(1+ x²) no matter what a is.

 

[naicidrac]

OMG, Thanks for the help. I just could not see it and now it is as plain as day. I do that a lot with math, Ijust get stuck in one path and can't figure it out. Thx for the help and have a great weekend.