_________________________
x⁴ + x² + 1
= x⁴ + 1 + x²
= (x² + 1)² - 2x² + x² ← Note: x⁴ + 1 = (x² + 1)² - 2x²
= (x² + 1)² - x² ← Notice that this is the difference of squares
= [(x² + 1) + x]·[(x² + 1) - x] ← Factored the difference of squares
= (x²+x+1)(x²-x+1) ← ANSWER
Have a good one!
_____________________________
x⁴ + x² + 1
= x⁴ + 1 + x²
= (x² + 1)² - 2x² + x² ← Note: x⁴ + 1 = (x² + 1)² - 2x²
= (x² + 1)² - x² ← Notice that this is the difference of squares
= [(x² + 1) + x]·[(x² + 1) - x] ← Factored the difference of squares
= (x²+x+1)(x²-x+1) ← ANSWER
Have a good one!
_____________________________
-
You have to rearrange the equation to: 4x + 2x +1? ^^
-
X6+1