Assume Z₁ = 7 - 4i and Z₂ = 2 + 5i. Find the sum and difference of z1 and z2. Z₁ + Z₂ = Z1-Z₂ = +

Q: 1. Express the sum of (2 - 3i) and (6 + 4i) divided by the sum of (4 + i) and (-5- 2i) in a + bi…

A: 1)  To find the value of           {(2-3i)+(6+4i)} / {(4+i)+(-5-2i)}

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

A: Multiply by the conjugate of the denominator

Q: Assume Z₁ = 7 - 4i and Z₂ = 2 + 5i. Find the sum and difference of z1 and 22.

A: Given  Z1 = 7 - 4i Z2=2 + 5i

Q: Give the conjugate of 13 – 10i

A:

Q: Multiply. (-8+6i)(5-9i) (-8+6i)(5-9i)= (Simplify your answer. Type your answer in the form a + bi.)

A: Given that(-8+6i)(5-9i)

Q: (-4+i)-(5-7i)² Simplify 3i

A: We use i2=-1

Q: Multiply/Divide a) divide -27 • divide -27 b) (1+5i) (1- 5i)

A:

Q: Let a = – 4i – 5j and b – 7i + 3j. Find a - b

A: we have  a→=-4i→-5j→ and b→=-7i→+3j→

Q: Divide and express the result in standard form: (7 + 4i) / (2 - 5i).

A: 7+4i2-5i

Q: Find a - b

A:

Q: Simplify (4 + 2i) +(-3- 5i) Answers must be in simplified radical form. No decimal approxin given…

A: Let y=(4+2i)+(-3-5i)

Q: 3 Describe the following transformations: a i transforming the graph y = x² + 3x + 7 to the graph y…

A:

Q: (5i)-(2i)-(8+4i) simplify

A: (5i)-(2i)-(8+4i) simplify

Q: 1- Find the inverse of 2=2-51.

A:

Q: |Write the following numbers in a + bi form: -2 – 5i (a) -1+ 2i + i, -1 -5 + 3i (b) i, 5i (c) (–5i)³…

A:

Q: Find the product of (12 - 9i) and its conjugate. product %3D

A: Given is : (12-9i) And conjugate of complex number: (12+9i)

Q: Write the following numbers in a + bi form: -1 - 4i + i, -2 – 3i 1 -3 + i, 3i 4i =) (i)³ + i. +

A: Topic:- complex number algebra

Q: For the following sequences, derive a formula to use to find the indicated term of each sequence.…

A: we have given sequence.  And we have find formula and 5th and 10th term

Q: Simplify the expression to a + bi form: (1+ 7i) + (4 – 10i) -

A: The given expression is 1+7i+4-10i.

Q: Calculate (-(2/3) + 2/3i)-4 Give your answer in the form a + bi, where a and b are exact real…

A:

Q: Calculate the dot product of ?=(−4,−2,7,−3)and ?=(−3,1,5,8)

A: Given vector is u→=−4,−2,7,−3 and v→=−3,1,5,8. We have to calculate the u→⋅v→.…

Q: Verify that              a.(b x c) = b.(c x a) = c. (a x b) if               a =4i – 3j +6k ,  b=…

A: Given that a→=4i-3j+6k, b→=5i+4j-3k, c→=4i+6j+3k We have to verify that a→·b→×c→=b→·c→×a→=c→·a→×b→

Q: what is the answer for (-4-5i)(3-3i)

A: To multiply the given two complex numbers.