(m-9n)² - 9m² = m² - 2×m×9n + 81n² - 9m² = -8m² - 18mn + 81n² a² - (x+y)² = a² - (x² + 2×x×y + y²) = a² - x² - 2xy - y² 4 - (2a - 3b)² = 4 - 4a² - 2×2a×3b + 9b² = 4 - 4a² + 12ab - 9b² = (2x+3)² - (x-1)² = 4x² + 2×2x×3 + 9 - (x² - 2×x×1 + 1) = 4x² + 12x + 9 - x² + 2x - 1 = 3x² + 14x +8 4 (a - b)² - (a + b)² = 4 (a² - 2ab + b²) - (a² + 2ab + b²) = 4a² - 8ab + 4b² - a² - 2ab - b² = 3a² - 10ab + 3b²
1) (mkwadrat - 18mn + 81nkwadrat) - 9 mkwadrat = -8mkwadrat - 18mn +81nkwadrat 2) akwadrat - (xkwadrat + 2xy + ykwadrat) = akawdrat - xkwadrat - 2xy - ykwadrat 3) 4 - (2a - 3b)kwadrat = 4 - (4akwadrat - 12ab + 9bkwadrat) = 4 - 4akwadrat + 12ab - 9 bkwadrat 4) 4xkwadrat + 12x +9 - (xkwadrat - 2x +1) + 4xkwadrat + 12x+9 -xkwadrat + 2x -1 = 3xkwadrat +14x + 8 5) akwadrat - 2ab + bkwadrat - (akwadrat + 2ab + bkwadrat) = akwadrat - 2ab + bkwadrat - akwadrat - 2ab - bkwadrat = -4ab
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