PLEASE HELP FACTOR :)

[han10]

x[sup:2ln0k154]2[/sup:2ln0k154][5(x-4)[sup:2ln0k154]4[/sup:2ln0k154]]+(x-4)[sup:2ln0k154]5[/sup:2ln0k154](2x)

Can someone please help and work this out step by step.. we have been trying to figure it out for foreverrr! thankkss

 

[tkhunny]

You must be VERY clear in the difference between a FACTOR and a TERM.

Identify the two terms.
Find the common factors in the two terms.

(x-4)^4 appears in both terms
x appears in both terms

Use the Distributive Property and rewrite it with that information.

 

[Denis]

x[sup:27ehj5ae]2[/sup:27ehj5ae][5(x-4)[sup:27ehj5ae]4[/sup:27ehj5ae]]+(x-4)[sup:27ehj5ae]5[/sup:27ehj5ae](2x)

Sometimes easier if you "condense"; let a = x-4 ; so your expression becomes:
x^2(5a^4) + a^5(2x)
= 5 a^4 x^2 + 2 a^5 x
= a^4 x(5x + a) ; get my drift?