1) 7m - n + 49² - n² = 7m+497m + 497m+49 - n+nn + nn+nn−nn - nn−n = 7m+7m + 7m+7 - n+7n + 7n+7n−7n - 7n−7
2) 24x² - 4xy + y² - 16 = 4x−y−44x - y - 44x−y−46x−y+46x - y + 46x−y+4
3) xy⁴ - 2y⁴ - xy + 2y = yxy3−2y3−x+2xy³ - 2y³ - x + 2xy3−2y3−x+2
4) 9 - x² - 2xy - y² = 3−x−y3 - x - y3−x−y3−x+y3 - x + y3−x+y
Уравнения:
1) 5x³ - 5x = 05xx2−1x² - 1x2−1 = 05xx−1x - 1x−1x+1x + 1x+1 = 0x = 0, x = 1, x = -1
2) 64x³16x² + x = 0x64x2−16x+164x² - 16x + 164x2−16x+1 = 0x8x−18x - 18x−1² = 0x = 0, x = 1/8
3) x³ - 3x² - 4x + 12 = 0x3−3x2x³ - 3x²x3−3x2 - 4x−124x - 124x−12 = 0x²x−3x - 3x−3 - 4x−3x - 3x−3 = 0x2−4x² - 4x2−4x−3x - 3x−3 = 0x+2x + 2x+2x−2x - 2x−2x−3x - 3x−3 = 0x = -2, x = 2, x = 3
1) 7m - n + 49² - n² = 7m+497m + 497m+49 - n+nn + nn+nn−nn - nn−n = 7m+7m + 7m+7 - n+7n + 7n+7n−7n - 7n−7
2) 24x² - 4xy + y² - 16 = 4x−y−44x - y - 44x−y−46x−y+46x - y + 46x−y+4
3) xy⁴ - 2y⁴ - xy + 2y = yxy3−2y3−x+2xy³ - 2y³ - x + 2xy3−2y3−x+2
4) 9 - x² - 2xy - y² = 3−x−y3 - x - y3−x−y3−x+y3 - x + y3−x+y
Уравнения:
1) 5x³ - 5x = 0
5xx2−1x² - 1x2−1 = 0
5xx−1x - 1x−1x+1x + 1x+1 = 0
x = 0, x = 1, x = -1
2) 64x³16x² + x = 0
x64x2−16x+164x² - 16x + 164x2−16x+1 = 0
x8x−18x - 18x−1² = 0
x = 0, x = 1/8
3) x³ - 3x² - 4x + 12 = 0
x3−3x2x³ - 3x²x3−3x2 - 4x−124x - 124x−12 = 0
x²x−3x - 3x−3 - 4x−3x - 3x−3 = 0
x2−4x² - 4x2−4x−3x - 3x−3 = 0
x+2x + 2x+2x−2x - 2x−2x−3x - 3x−3 = 0
x = -2, x = 2, x = 3