Math Problem Statement
(−10+9i)−4(1−2i) Solve and write the answer in standard form.
Solution
Let's solve and express the answer in standard form, which is .
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Distribute the to both terms inside the parentheses:
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Now substitute this into the original expression:
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Distribute the negative sign:
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Combine the real parts and the imaginary parts:
So the solution in standard form is:
Would you like further clarification on any part of the solution?
Here are 5 related questions you might find helpful:
- How do you multiply two complex numbers?
- What is the conjugate of a complex number, and how do you use it?
- How do you divide complex numbers?
- What is the geometric interpretation of a complex number?
- How do you find the modulus of a complex number?
Tip: When solving with complex numbers, always combine real and imaginary parts separately for clarity.
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Math Problem Analysis
Mathematical Concepts
Complex Numbers
Algebra
Formulas
(a + bi) - (c + di) = (a - c) + (b - d)i
Distributive Property: a(b + c) = ab + ac
Theorems
Basic Operations on Complex Numbers
Suitable Grade Level
Grades 10-12