虛數的減法跟單項式的減法非常相似。請依次填寫下列各題的空格:
| \(3x - 2x\) | \(=\) | \(x\) |
| \(-y - 4y\) | \(=\) | \(\; y\) |
| \(4i - 2i\) | \(=\) | \(2i\) |
| \(8i - 3i\) | \(=\) | \(\; i\) |
| \(3i - 9i\) | \(=\) | \(\; i\) |
| \(-2i - 4i\) | \(=\) | \(\; i\) |
複數的減法跟單項式的減法非常相似。
單項式的減法\((\)\(3x\) \( + \) \(4y\)\() - (\)\(x\) \(+ \) \(y\)\() = (\)\(3x - x\)\() + (\)\(4y - y\)\() =\) \(2x\) \(+ \)\(3y\)
複數的減法\((\)\(3\) \( + \) \(4i\)\() - (\)\(1\) \(+ \) \(i\)\() = (\)\(3 - 1\)\() + \, (\)\(4i - i\)\() = \) \(2\) \(+ \)\(3i\)
請嘗試依次填寫下列各題的空格:
| \((3x + 4y) - (x + y)\) | \(=\) | \(2x+ 3y\) |
| \((4x) - (4x - 2y)\) | \(=\) | \(\; x\) + \(\; y\) |
| \((3 + 4i) - (1 + i)\) | \(=\) | \(2 + 3i\) |
| \((2 - i) - (3 - 4i)\) | \(=\) | + \(\; i\) |
| \((6 + 4i) - (-3 + 6i)\) | \(=\) | + \(\; i\) |
| \((-3 - 5i) - (1 - 5i)\) | \(=\) | + \(\; i\) |