SOLUTION: Factor: 8x^6 +27

Question 463378: Factor: 8x^6 +27
Answer by algebrahouse.com(1659) (Show Source): You can put this solution on YOUR website!
8x^6 + 27

It is a "sum of two cubes", in the form a� + b�.
It factors into the form (a + b)(a� - ab + b�)

If a� is 8x^6, then a is 2x� {the cube root of 8x^6}
If b� is 27, then b is 3 {the cube root of 27}

So, substitute 2x� in for a, and 3 in for b, into:
(a + b)(a� - ab + b�)

= (2x^2 + 3)(4x^4 - 6x^2 + 9)

For more help from me, visit: www.algebrahouse.com

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