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can you factor this expression -216x^3+1

factor the expression
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1 Answer

-216x3+1 = (-6x)3+1
 
This is a "sum of cubes" (since 1 = 13), which has the form:
 
a3 + b3 = (a + b)(a2 - ab + b2)
 
In this problem, a = -6x and b = 1
 
-216x3 + 1 = (-6x + 1)(36x2 + 6x + 1)

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