Example 2 Compute (a) (1+i)/(3-i) and (b) (1+i)4.

Q: 4. Perform the following operations: a) (4x²+5x+3)+(3x²–2x+8) b) (3r² –7x+2)(5x²+4x-6) c)…

A:

Q: verify that3(AB) = (3A)B = A(3B)

A: Given matrix

Q: verify that A(B + C) = AB + AC

A: Now,

Q: 8(a+9) =

A: Given,           8(a + 9)

Q: 1 – 7x + 5x ² – 3x ³ + 2x * ): (x? + 3) + 2x * )÷ (x2 + 3)

A: Solve the division

Q: log (x*+3x +9) = 2

A:

Q: Evaluate ak+2 if ap

A:

Q: 2[6a-2a(3a+3b)+6a2]

A: The given expression is

Q: Expand (x + y) 8.

A: Given: The expression x+y8.

Q: 2(x+3)=5(x+1)

A:

Q: 2. (3x+5)+(2x – 3)

A:

Q: verify that (A + B) + C = A + (B + C)

A: Now,

Q: 3 [(18 – 22) - (22)] dr -3

A: definite integration

Q: verify that 6A = 3(2A)

A: Here given  Thus

Q: What is the product of -1+ x* and x2k + xk + 1?

A: In this question, we have to solve the expression using exponent concept. Exponent and Power The…

Q: 9(a + b) = 9a+

A: Given, 9(a + b) = 9a+

Q: Express -25 22+7x+10 in simplest form. Show all work.

A:

Q: (8a in simplest form.

A: 8a-3-23To write in simplest form

Q: Find a and b if a + (5 – 3b) i = ai + 2 (b + 5)

A: See the attachment.

Q: Show mathematically that (10-6) is not independent of (10-1),(10-3), and (10-4).

A: We can write (10  -6) as:

Q: What is (1 + i)?

A:

Q: show that (AB)-1 = B-1A-1

A: Given matrix A has a order of 2x2 while matrix B has a order of 2x3.

Q: 8(w+5)+2(5w-3) in simplest form

A:

Q: The product of cycles (1 2) (1 3 4) (1 4) can be expressed as (1 2) (3 4) O True O False

A:

Q: 2) (x² – 4x – 45) + (x – 9)

A:

Q: Expand (x²n + 2x"y" + y2n)(x2n – 2x"y" + y2n)

A: To evaluate: x2n+2xnyn+y2nx2n-2xnyn+y2n We know that xm×xn = xm+n

Q: Expand (2x+y)5

A:

Q: Evaluate tan³ (32)sec² (32)dr + C

A:

Q: 1(3×+9)=7(8)=

A: Given  13x+9 = 78 ⇒3x+9= 7×8  ⇒3x+9= 56