FACTORIZE - X6- 5X3+ 8
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x6 + 5x3 + 8 x6 + 5x3 + 8
=> x6 + 5x3 + 8 + x3 - x3
=> x6 + 6x3 + 8 - x3
=> (x2)3+ (2)3+ (-x)3 - 3 × (x2) × (2) × (-x)
=> (x2 + 2 - x)[(x2)2 + (2)2 + (-x)2 - (x2) × (2) - (2) × (-x) - (x2) × (-x)) => (x2 - x + 2)(x4 + x2 + 4 - 2x2 + 2x + x3)
=> (x2 - x + 2)(x4 + x3 - x2 + 2x + 4) Ans
@:-)
x6 + 5x3 + 8 x6 + 5x3 + 8
=> x6 + 5x3 + 8 + x3 - x3
=> x6 + 6x3 + 8 - x3
=> (x2)3+ (2)3+ (-x)3 - 3 × (x2) × (2) × (-x)
=> (x2 + 2 - x)[(x2)2 + (2)2 + (-x)2 - (x2) × (2) - (2) × (-x) - (x2) × (-x)) => (x2 - x + 2)(x4 + x2 + 4 - 2x2 + 2x + x3)
=> (x2 - x + 2)(x4 + x3 - x2 + 2x + 4) Ans
@:-)
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