Question

4. найдите сумму многочленов.
1) 0,2x²-0,4y² и -0,3x²+0,5y²
2) 0,6x⁴+0,7y⁵ и 1,8x⁴-4,3y⁵
3) 5a²b-ab² и -3a²b+4ab²
4) -4a³b+5a⁴b² и 6a³b-7a⁴b²
5) 2 1/3a²-4 3/5b² и 6 2/3a²+7 2/5b²
6) 3/4a⁴-2/5b⁴ и -2/5a⁴+1/4b⁴​

Answer 1

1) (0.2x² - 0.4y²) + (-0.3x² + 0.5y²) = (0.2x² - 0.3x²) + (-0.4y² + 0.5y²) = -0.1x² + 0.1y²

2) (0.6x⁴ + 0.7y⁵) + (1.8x⁴ - 4.3y⁵) = (0.6x⁴ + 1.8x⁴) + (0.7y⁵ - 4.3y⁵) = 2.4x⁴ - 3.6y⁵

3) (5a²b - ab²) + (-3a²b + 4ab²) = (5a²b - 3a²b) + (ab² + 4ab²) = 2a²b + 5ab²

4) (-4a³b + 5a⁴b²) + (6a³b - 7a⁴b²) = (-4a³b + 6a³b) + (5a⁴b² - 7a⁴b²) = 2a³b - 2a⁴b²

5) (2 1/3a² - 4 3/5b²) + (6 2/3a² + 7 2/5b²) = (2 1/3a² + 6 2/3a²) + (-4 3/5b² + 7 2/5b²) = 8a² - 9/5b²

6) (3/4a⁴ - 2/5b⁴) + (-2/5a⁴ + 1/4b⁴) = (3/4a⁴ - 2/5a⁴) + (-2/5b⁴ + 1/4b⁴) = 7/20a⁴ - 7/20b⁴