Factor completely:5(x-1)^4+3(x-1)^2
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Factor completely:5(x-1)^4+3(x-1)^2

[From: ] [author: ] [Date: 11-06-06] [Hit: ]
......
please show steps! Thanks!

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5(x-1)^4 + 3(x-1)^2 = (x-1)^2 [ 5(x-1)^2 + 3 ]
= (x-1)^2 [ 5(x^2 -2x +1) + 3 ]
= (x-1)^2 (5x^2 -10x +8)

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( x-1)^2 ( 5(x-1)^2 + 3)

( x-1)^2 ( 5x^2-10x +8) ANSWER

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(x-1)^2 is HCF
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