This mathematics problem involves applying core mathematical principles and formulas. Below you will find a complete step-by-step solution with detailed explanations for each step, helping you understand not just the answer but the method behind it.
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یہاں آپ کے سوالات کے جوابات ہیں۔ 1. The additive inverse of a+bi is -a-bi. a) -a-bi 2. First, simplify the complex number: (2+3i) + (1-i) = (2+1) + (3-1)i = 3+2i The conjugate of 3+2i is 3-2i. c) 3-2i 3. Given Z = a+bi. The conjugate Z = a-bi. Then Z+Z = (a+bi) + (a-bi) = 2a. a) 2a 4. The degree of the numerator P(x) = 2x+5 is 1. The degree of the denominator Q(x) = x^2-x+6 is 2. Since the degree of the numerator (1) is less than the degree of the denominator (2), the fraction is proper. a) Proper 5. To find the partial fractions of $2x+3(x-