Simplify the expression to a + bi form:left bracket, 5, plus, 5, i, right bracket, minus, left bracket, minus, 7, minus, 6, i, right bracket(5+5i)−(−7−6i)
Question
Simplify the expression to a + bi form:
Solution
To simplify the expression (5+5i) - (-7-6i) to a + bi form, follow these steps:
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Distribute the negative sign to each term in the second bracket. This changes the signs of -7 and -6i to positive 7 and positive 6i respectively. The expression now becomes: (5+5i) - -7 - -6i.
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Simplify the expression by removing the double negatives. The expression now becomes: (5+5i) + 7 + 6i.
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Combine like terms. Add the real numbers together (5 and 7) and the imaginary numbers together (5i and 6i). The expression now becomes: 12 + 11i.
So, the simplified form of the expression (5+5i) - (-7-6i) in a + bi form is 12 + 11i.
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