4. Simplify. Write each expression in the form a + bi: a. (5 – 21) + (-3 +7i) b. (5 – 2i) – (-3 + 7i) 5 -2i . (5- 2i)(-3+71) С.

Q: Add / subtract: A) (-1+ 2i) + (-2 + 5i) B) (2-3i) - (-2+ 3i)

A:

Q: Add or subtract as indicated and write the result in standard form: 15i - (12 - 11i)

A:

Q: Simplify (2 – 3i)²

A:

Q: Simplify the expression to a + bi form: (-8 — 2:) + (8 — і)

A: (- 8 - 2i) + (8 - i) = (- 8 + 8) + (- 2i - i) = 0 + (- 3)i  So, a = 0 &, b = - 3

Q: Divide and express the result in standard form: 3/(4 + i)

A: The standard form of a complex number is a+ib . To divide and convert given complex number 34+i…

Q: 1. Multiply. Express each answer in its simp (a) x 28 = (b

A: The question asks to multiply a mixed fraction by a whole number.

Q: Perform the indicated operations and write the result in standard form : (3 - 4i)2

A: i=-1i2=-1

Q: Perform the following difference and write the result in a + ib form. 2 + 3i 1 + 2i 8+i 3-i

A:

Q: Perform the indicated operation(s) and write the result in standard form. (2 - 3i)(1 - i) - (3 -…

A: Given 2-3i1-i-3-i3+i

Q: What is the difference of (-3+2i) and (6+3i)?

A:

Q: (5+4i)(17 – 13i) – (5 + 3i)(17 – 13i)

A: A complex number is a number of the form a+bi with a,b being real numbers. Here a is called its real…

Q: Divide and express the result in standard form: (2 + 3i)/(2 + i)

A: The given expression is (2 + 3i)/(2 + i)

Q: Divide and express the result in standard form: 2i/(1 + i)

A:

Q: Evaluate (1+ i)6 + (1 – i)³. Select one: Oa. -2 – 10i O b. 2- 10i OC. - 2+ 10i O d. 2+ 10i

A:

Q: Rewrite the expressions in terms of i: a) -v(-5) b)(-V(-24))v6

A: SInce multiple questions are asked, I am answering the first question with both subparts.

Q: Add or subtract as indicated and write the result in standard form: 8i - (14 - 9i)

A: The given expression is 8i-14-9i. Simplify as follows.

Q: Find the product and write the result in standard form: (-5 + 4i)(3 + i)

A: The given expression is -5+4i3+i.