虛數的加法跟單項式的加法非常相似。請依次填寫下列各題的空格:
\(x + 2x\) | \(=\) | \(3x\) |
\(3y + 4y\) | \(=\) | \(\; y\) |
\(3i + i\) | \(=\) | \(4i\) |
\(2i + 4i\) | \(=\) | \(\; i\) |
\(9i + 5i\) | \(=\) | \(\; i\) |
\(-2i + 4i\) | \(=\) | \(\; i\) |
複數的加法跟單項式的加法非常相似。
單項式的加法\((\)\(x\) \( + \) \(y\)\() + (\)\(2x\) \(+ \) \(3y\)\() = (\)\(x + 2x\)\() + (\)\(y + 3y\)\() =\) \(3x\) \(+ \)\(4y\)
複數的加法\((\)\(1\) \( + \) \(i\)\() + (\)\(2\) \(+ \) \(3i\)\() = (\)\(1 + 2\)\() + \, (\)\(i + 3i\)\() = \) \(3\) \(+ \)\(4i\)
請嘗試依次填寫下列各題的空格:
\((x + y) + (2x + 3y)\) | \(=\) | \(3x+ 4y\) |
\((4x) + (5x + 2y)\) | \(=\) | \(\; x\) + \(\; y\) |
\((1 + i) + (2 + 3i)\) | \(=\) | \(3 + 4i\) |
\((6 + 2i) + (1 + 3i)\) | \(=\) | + \(\; i\) |
\((5 + 6i) + (7i)\) | \(=\) | + \(\; i\) |
\((-1 + 2i) + (4 - 5i)\) | \(=\) | + \(\; i\) |