Answer:
<h2>
50+50i</h2>
Step-by-step explanation:
Given the expression (2 + i)(3 - i)(1 + 2i)(1 - i)(3 + i), we are to take the product of all the complex values. We must note that i² = -1.
Rearranging the expression [(3 - i)(3 + i)] [(2 + i)(1 - i)](1 + 2i)
On expansion
(3 - i)(3 + i)
= 9+3i-3i-i²
= 9-(-1)
= 9+1
(3 - i)(3 + i) = 10
For the expression (2 + i)(1 - i), we have;
(2 + i)(1 - i)
= 2-2i+i-i²
= 2-i+1
= 3-i
Multiplying 3-i with the last expression (1 + 2i)
(2 + i)(1 - i)(1 + 2i)
= (3-i)(1+2i)
= 3+6i-i-2i²
= 3+5i-2(-1)
= 3+5i+2
= 5+5i
Finally, [(3 - i)(3 + i)] [(2 + i)(1 - i)(1 + 2i)]
= 10(5+5i)
= 50+50i
Hence, (3 - i)(3 + i)(2 + i)(1 - i)(1 + 2i) is equivalent to 50+50i
Answer:
In Step 4, the inequality sign should be flipped.
Step-by-step explanation:
Whenever you multiply or divide both sides of an inequality by a negative number, you need to flip the inequality sign. So, in Step 4, when you divide both sides by -10, the sign should be flipped.
The final answer should be:
Answer:
4 sqaure root 24x^3/ 2x
Step-by-step explanation:
See steps below:)
Answer:
(x+1)²= 49, the answer is B
Step-by-step explanation:
x² + 2x = 48
x² + 2x + (2/2)² - (2/2)²= 48 --[what we are trying to do is to complete a square by adding (2/2)² - (2/2)²]
(x+1)²= 49, the answer is B
The percentage change in G is 21 %
<h3>What is Percentage change ?</h3>
Percentage change is defined as the increase or decrease in the value as compared to the original value multiplied by 100.
It is given that
G = ab
when a is increased by 10% the new a will be = 1.1 a
When b is increased by 10% the new b will be 1.1 b
So,
G' = 1.1a *1.1 b
G' = 1.21 ab
G' = 1.21
(G' - G)*100/G = (1.21-1)*100/1
The percentage change is 21 %
To know more about percentage change
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