Factorise x^6-26x^3–27.
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Answer:
x⁶-26x³–27= (x+1)(x²-x+1)(x-3)(x²+3x+9)
Step-by-step explanation:
Use of formulas:
- a³-b³=(a²+ab+b²)
- a³+b³=(a+b)(a²-ab+b²)
- x⁶-26x³–27=
- x⁶+x³-27x³-27=
- x³(x³+1)-27(x³+1)=
- (x³+1)(x³-27)=
- (x+1)(x²-x+1)(x-3)(x²+3x+9)
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