SOLUTION: Factor each expression: 5y^3+15y^2+2y+6 ; x^6+1

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Question 209107: Factor each expression: 5y^3+15y^2+2y+6 ; x^6+1
Answer by RAY100(1637) About Me  (Show Source):
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5y^3 +15y^2+2y+6
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5y^2(y+3) +2(y+3)
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(5y^2 +2)(y+3)
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.
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x^6 +1,,,,,recognize the sum of cubes,,,,(x^2)^3 +1^3
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basic form is,,(x^2 +1)( x^2^2 -x^2 +1)=
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(x^2+1)(x^4 -x^2 +1)
.