Add, subtract, and multiply complex numbers using i^2=-1 and algebraic properties.
Determine whether two complex-number expressions are equivalent by simplifying to standard form
Problem
Are the expressions \((2+i)+(3-4i)\) and \(5-3i\) equivalent?
Big Picture
What this problem is really about
Equivalence is easiest to test after both expressions are in standard form. We’ll group the first expression’s real parts and imaginary coefficients, simplify each component, compare those two results with the already-standard second expression, and require both components to match.
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