а) 4х² + 12х + 9 = 2² x² + 2 * 2x * 3 + 3² = (2x)² + 2 * 2x * 3 + 3² = (2x + 3)²
б) 9х² - 24xy + 16y² = 3² x² - 2 * 3x * 4y + 4² y² = (3x)² - 2 * 3x * 4y + (4y)² = (3x - 4y)²
в) 10xy + 0,25x² + 100y² = 10xy + x² + 100y² = x² + 10xy + 100y² = (x + 10y)²
г) 25b² + 10b + 1 = 5² b² + 2 * 5b * 1 + 1² = (5b)² + 2 * 5b * 1 + 1² = (5b + 1)²
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а) 4х² + 12х + 9 = 2² x² + 2 * 2x * 3 + 3² = (2x)² + 2 * 2x * 3 + 3² = (2x + 3)²
б) 9х² - 24xy + 16y² = 3² x² - 2 * 3x * 4y + 4² y² = (3x)² - 2 * 3x * 4y + (4y)² = (3x - 4y)²
в) 10xy + 0,25x² + 100y² = 10xy + x² + 100y² = x² + 10xy + 100y² = (x + 10y)²
г) 25b² + 10b + 1 = 5² b² + 2 * 5b * 1 + 1² = (5b)² + 2 * 5b * 1 + 1² = (5b + 1)²