Show all of your work and box your final answers. No calculators are allowed. You may use the formulas A³ + B² = (A + B)A² – AB+ B²) A³ - B³ = (A-BA² + AB+B²) th mmon Bar

Q: Simplify the expression -i+ (7+ 8i) 2i(-6+2i) + - 1-i to the form a + y · i where a and y are real…

A: The given expression 2i-6+2i+-i+7+8i¯¯1-i. Simplify the expression 2i-6+2i+-i+7+8i¯¯1-i in standard…

Q: simplify each complex fraction. (3/2x + 5/3y)/(4/x - 3/4y)

A: Simplify each complex fraction.         32x+53y4x-34y

Q: 7. Find the product. Write the answer in standard form. a. (-4+2i)² b. (4+7i)(-2-5i) c. (6+8i)…

A:

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: If the size of A is (4x4), B (5x4) and C (4x5) than the size of A(B)^T+4C is (5x3) O (4x5) O (4x3)…

A: Matricex Multiplication is possible if and only if the number of columns in the first matrix is same…

Q: True or False? Does the rectangular coordinate (1,0) represent the same point as the polar…

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Q: Find the following products.   (-3 + 3i)(-2 +9i)

A: To determine: -3+3i-2+9i

Q: (8+4i)(8+4i)=

A: Given,(8+4i)(8+4i)now,(8+4i)(8+4i) = 8(8+4i)+4i(8+4i)

Q: Perform the following difference and write the result in a + ib form. 2 + 3i 1 + 2i 8+i 3-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: Multiply and Simplify (5 + i) (4 - 7i)

A: simplify the expression.

Q: add or subtract as indicated. (3 + 2i ) - (5 + 7i )

A: (3 + 2i ) - (5 + 7i ) = 3 + 2i  - 5 - 7i

Q: Find the quotient. Write the answer in standard form. 5+4i 3+6l

A:

Q: Multiply (4-3i)(4+3i) and write the final answer in the phone a+bi

A: The given data is: 4-3i4+3i To write the final answer in the form of a+ib

Q: 2. Simplify the following: a. (2 + 5i ) + ( 3 – 3i ) b. (3 + 5i ) - (5– 3i ) c. (2- 3i ) (3 + 5i )…

A: There is no such introduction for the solution.I have explained it within the solution.Please go…