Add, subtract, and multiply complex numbers using i^2=-1 and algebraic properties.
Subtract complex numbers in standard form by combining real parts and imaginary parts
Problem
Subtract \((7+5i)-(2+3i)\) by distributing the minus sign and combining real parts and imaginary coefficients. Write the result in standard form.
Big Picture
What this problem is really about
Complex subtraction begins by applying the minus sign to both components of the second number. We’ll distribute that sign, combine real parts and imaginary coefficients separately, restore standard form, and add the subtracted number back as a check.
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