Simplify the complex numbers and arrange them in increasing order of their absolute value (modulus).

The complex numbers in increasing order of their absolute value is and

The complex numbers are given as:

and

Start by simplifying both complex numbers using binomial expansion method.

So, we have:

Evaluate the exponents

Evaluate the products

Evaluate the products

Evaluate like terms

Next, simplify

Simplify

So, we have:

and

Calculate the absolute values

By comparison: 36 is less than 64

So, the complex numbers in increasing order of their absolute value is and

Read more about complex numbers at:

link

The  complex numbers arranged  in increasing order of their absolute value (modulus) are:      

Step-by-step explanation:

-5(n³-n²-1)+ n(n²-n)

= -5n³+5n²+5+  n³-n²   (multiplying)

= -6n³+6n²+5

(n²-1)(n +2)  -n² (n-3)

= n³+2n²-n -2 - n³+ 3n²          (multiplying)

=5n²-n -2

n² (n-4) + 5n³ -6

= n³- 4n +5n³ -6                  (multiplying)

= 6n³- 4n  -6

2n( n²-2n-1) + 3n²

= 2n³- 4n²  -2n + 3n²

=2n³ +n²  -2n

First we solve the expression by multiplying adding or subtracting . Then we take the expression whose answer is the highest both in co efficient and the power to be the last  in number as we have to write the expression in increasing order , mso we will start with the smallest.

The expression whose answer is the smallest both in co efficient and the power  is taken to be thefirst in number as we have to write the expression in  increasing order. The negative co efficients and less powers are taken to be the smallest in value.

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step-by-step explanation: