SOLUTION: Please help me know what the completely factored form of: k^4-4k^2+8K^3-32k+12k^2-48

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Question 1016913: Please help me know what the completely factored form of: k^4-4k^2+8K^3-32k+12k^2-48
Answer by ikleyn(52809) About Me  (Show Source):
You can put this solution on YOUR website!
.
Please help me know what the completely factored form of:
k^4-4k^2+8K^3-32k+12k^2-48
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k%5E4+-+4k%5E2+%2B+8K%5E3+-+32k+%2B+12k%5E2+-+48 =                 <---  make grouping

= %28k%5E4+-+4k%5E2%29 + %288K%5E3+-+32k%29 + %2812k%5E2+-+48%29 =    <--- take the common factors out of parentheses

= k%5E2%2A%28k%5E2+-+4%29 + 8k%2A%28k%5E2+-+4%29 + 12%2A%28k%5E2+-+4%29 =

= %28k%5E2+%2B+8k+%2B+12%29%2A%28k%5E2-4%29.