how do you factor the problem below

Question

how do you factor x⁴-8x?

Answer 1

How do you factor x⁴-8x?

1. First step is to factor the GCF (Greatest Common Factor)
2. The GCF is x which will yield x(x³-8)
3. You need to apply the difference of cubes formula: (a³-b³)= (a+b)(a²+ab+b²)
4. one easy way to remember the sign is using "SOP" same opposite positive
5. to obtain the binomial take the cube root of a³ and b³ (remember the signs "sop")
6. to obtain the trinomial square the first term, then multiply the inside of the binomial which is ab, then square the second term.
7. Final answer should be x(x+2)(x²-2x+4)

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