Express the product (3 + 2i)(1 – 3i) in a + bi form.

Q: Calculate (3 + i)*. Give your answer in a + bi form

A: Consider the complex number, Let,     z=3+i The polar form of the complex number z = a + ib is,…

Q: 12. Calculate and write the quotient in a + bi -1+2i form.

A: Given : Analysis 3−1+2i We have, 32i-1 Multiplying and dividing by 2i+1, 32i−1…

Q: Find the conjugate of – 3i ( 2 + 5i ).

A: Solution

Q: 5. Expressed in a + bi form, is equivalent to 3+1 1)- 2- 3)- i 4) 15- 5i -5i

A: Given : 53+i

Q: Write the product (2 + 7i)(2 - 7i) in the form a + bi.

A: We have to find the product of two complex number.

Q: Express the product of 5iª(-7+ 9i8$) in a + bi form.

A:

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

A: Given:

Q: Express the product of 9i5(2i³ - 3i16) in a + bi form.

A: 9i15(2i3-3i16) =(9i15)(2i3)-(9i15)(3i16) =18i15+3 -27i(15+16) =18i18 - 27i31 Now i=√(-1) i18=-1…

Q: Express 3-i/2+3i  in the form a + bi

A: Rationalise i^2=-1

Q: Evaluate the sum or difference, and write the result in the form a + bi. (5 - 3i) + (-4 - 7i)

A: Our AIm is to evaluate the expression given below:-(5-3i)+(-4-7i)  -(i)

Q: Evaluate the sum or difference, and write the result in the form a + bi. 3i - (2 - 3i)

A: The expression in the standard form of complex number (a+bi)…

Q: Find the product of 2 3i and its conjugate. The answer is a + bi where The real number a equals The…

A:

Q: Write z -5- iz + 3i in a+ bi form (x – y– 5) + i(3 – x – y)

A: To write z^(c) -5-iz+3i in the form of a+bi.

Q: 5) Evaluate and write the result in the form a + bi. ə) (-) 2+i b) 2-3i

A:

Q: Evaluate the product, and write the result in the form a + bi. (7 - i)(4 + 2i)

A: Consider the given expression as 7-i4+2i

Q: Calculate (2 – 3i)". Give your answer in a + bi form

A:

Q: If Z = 2 + 5i, write down the conjugate of Z. Multiply Z by its conjugate and write answer in the…

A:

Q: Find the product of - 5 2i and its conjugate. |

A:

Q: Express z =1/(2+5i) in the form a+ib.

A: Given:

Q: Find the product and write the result in standard form: (5 - 2i)2

A:

Q: 20. Express (-3 - 8i) (-7 + 2i) + (7 - 3i) in simplest a + bi form

A:

Q: express z1z2 and (z1/z2) in the form a+ib z1=-1+3i, z2=2-i

A:

Q: Find the product and write the result in standard form. -3i(7i - 5)

A: We have to find the product of complex numbers and have to convert in standard form: -3i7i-5 We know…

Q: Find the two square roots of 4i. A v2+ v2i and v2- V2i B v2-v2i and -V2- V2i © v2- V2i and -v2 - v2i…

A:

Q: Determine the conjugate of the product of, (3 – 2i) (4 + 3i)

A: solution:-3-2i4+3i=34+3i-2i4+3i=12+9i-8i-6i2putting i2=-1=12+9i-8i-6-12=12+9i-8i+6=18+i

Q: Perform the computations in the given question and express the results in standard form a+ bi.   (2…

A: Given: 2-3i-1+4i Simplify the expression: 2-3i-1+4i=2-1+4i-3i-1+4i=-2+8i+3i-12i2=-2+11i-12i2

Q: Find the product. Give your answer in a + bi form. (2 – 3)2

A: Express the term in the formula of (a-b) ^2

Q: Use de Moivre's formula to evaluate (-2 + 2i)1º. Express your answer in standard form or, in a + bi…

A: De Moivre's Formula: For any positive integer n and complex number x=a+ib, the de Moivre's formula…

Q: Determine the product of (1+i) and (1-3i)

A:

Q: Find the product of – 2 + 1i and its conjugate. The answer is a + bi where The real number a equals…

A: The solution is given below:

Q: Find the product of – 5 + 2i and its - conjugate. The answer is a + bi where The real number a…

A: We can solve the problem by multiplying.

Q: 6- The Conjugate of 4+3i =-(4+3i)

A: The objective is to find the conjugate of (4+3i).

Q: Simplify and express in a + bi form: (12 + 3i) – (3 – i) 2.

A: 2. We need to simplify the following complex number expression 12+3i - 3-i

Q: 3. Express the product of 5i(-7+ 2it) in a + bi form.

A: Since, i2=-1 so i6=(i2)3=(-1)3=-1 i4=(i2)2=(-1)2=1

Q: 6. Use DeMoivre's Theorem to calculate (–/3 + i) Write your answer in a + bi form.

A:

Q: Find the product of (-8 5i) and its conjugate. %3D product = %3D

A: The given complex number, -8-5i

Q: Given that Z1 =1– 2i, z2 = -3+4i. Find and express it in a +bi Z2 form.

A: As per our guidelines, we are allowed to answer only one question. Since you have asked multiple…

Q: The conjugate of 2 - 9i is________.

A: Given complex number z - z = 2-9i                       ....................(1)Concept - If a…

Q: calculate and write the quotient 4-i/3+2i in the a+bi form

A: Given,

Q: Find the quotient zi lza in standard form. 2= 3-3i, 22=1-i

A:

Q: Evaluate the product, and write the result in the form a + bi. (6 + 5i)( 2 - 3i)

A:

Q: Evaluate the product, and write the result in the form a + bi. (3 - 7i)2

A: Let the given complex number be z - z = 3-7i2z = 3-7i3-7iz = 3×3-3×7i-7i×3+7i×7iz = 9-21i-21i+49i2z…

Q: Evaluate and express in rectangular form: (1 + 2i) (4 - 6i^2) *

A:

Q: show work

A: The given expression is 2-1+2i

Q: Evaluate the product, and write the result in the form a + bi. (2 + 5i)2

A: (2+5i)2=(2+5i)(2+5i)(2+5i)2=2(2+5i)+5i(2+5i)(2+5i)2=4+10i+10i+25i2(2+5i)2=4+20i-25(2+5i)2=-21+20i

Q: State the product of x + yi and its conjugate in simplest a + bi form.

A: This question is based on Complex number.

Q: Calculate and write the quotient 3/-1+2i in a + bi form.

A: Given : 3-1 + 2i

Q: Evaluate the product, and write the result in the form a + bi. (3 - 7i)(3 + 7i)

A: Given:           3-7i3+7i Solve: 3-7i3+7i           =33+37i+-7i3+-7i7i