Вправи: 111

111. Скоротіть дріб:

1) x2- 3x+2x2- 5x+6 = x-2(x-1)x-2(x-3) = x-1x-3.

x² – 3x + 2 = 0; x² – 5x + 6 = 0;

x₁ = 2; x₁ = 2;

x₂ = 1; x₂ = 3.

2) 3x2+ 12x+93x4+ 15x2+ 18 = 3(x2+ 4x+3)3(x4+ 5x2+ 6) = x2+ 4x+3x4+ 5x2+ 6;

3) x8+ x4+ 1x4+ x2+ 1 = x⁴ – x² + 1;

_x⁸ + x⁴ + 1 x⁴ + x² + 1

x⁸ + x⁶ + x⁴ x⁴ – x² + 1

_–x⁶ + 1

–x⁶ – x⁴ – x²

_x⁴ + x² + 1

x⁴ + x² + 1

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