Pergunta

Subtract (5-2i)-(1+8i) Which property allows you to write the expression as 5-2i-1-8i associative x commutative distributive identity What is the real part of the difference? square What is the imaginary part of the difference? square vi COMERTE The difference is -6i -10+4i 3-9i 4-10i
Solução

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AndréVeterano · Tutor por 11 anos
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To subtract \((5-2i)-(1+8i)\), we can rewrite the expression as \(5-2i-1-8i\). This is allowed by the commutative property, which states that the order of addition or subtraction does not affect the result.<br /><br />Now, let's find the real and imaginary parts of the difference:<br /><br />Real part: \(5 - 1 = 4\)<br />Imaginary part: \(-2i - 8i = -10i\)<br /><br />So, the real part of the difference is \(4\) and the imaginary part is \(-10i\).<br /><br />Therefore, the difference is \(4 - 10i\).
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