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Chapter 8: Q52. (page 416)

Simplify the expression $(4 - i) - (- 2 + i)$ .

Short Answer

Expert verified

The simplified value of expression is $6 - 2 i$ .

Step by step solution

01

Step 1. Write down the given information.

The given expression is $(4 - i) - (- 2 + i)$ .

02

Step 2. Calculation.

Simplifying the given expression $(2 + 4 i) + (- 3 + 9 i)$ by subtracting real and imaginary parts separately.

\begin{matrix} (4 - i) - (- 2 + i) = (4 - (- 2)) - (i + i) \\ = 6 - 2 i \end{matrix}

03

Step 3. Conclusion.

The simplified value of expression is $6 - 2 i$ .

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Most popular questions from this chapter

Identify the coordinates of the vertex and focus, the equations of the axis of symmetry and directrix, and the direction of opening of the parabola with the given equation $- 6 y = x^{2}$ . Then find the length of latus rectum and graph the parabola.

Find the distance between the pair of points $(2, - 4) and (10, - 10)$ with the given coordinates.

Write the equation $y = 3 x^{2} - 6 x + 5$ in the form $y = a {(x - h)}^{2} + k y = a {(x - h)}^{2} + k$ .

Simplify the expression $(1 - 2 i) (2 + i)$ .

Katie is finding the standard form of the equation of the parabola $y = x^{2} + 6 x + 4$ . What mistake did she make in her work.

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