In the expression, the real number a equals 12 and the real number b equals -16.
<h3>How to explain the information?</h3>
It should be noted that the expression given is:
= (4 - 2i)²
Therefore, we need to expand the expression. This will be:
= (4 - 2i)(4 - 2i)
= 16 -8i -8i + 4i²
= 16 -16i +4i²
Substitute -1 for i²
= 16 - 16i + 4(-1)
= 16 - 16i - 4
= 12 - 16i
Therefore, the value of the expression is 12 - 16i.
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Evaluate the expression ( 4 − 2 i )² and write the result in the form a + b i.
Yes because removing the common factor is important. There are a few steps, then you can factor by regrouping. Hope this helps.
Answer:
Step-by-step explanation:
<u>For old circular garden:</u>
take the radius as r.
then use the formula to find area of circle: πr² ......this is old garden area.
<u>For new enlarged garden:</u>
the radius is twice the old radius so, radius = 2 * r = 2r ......enlarged radius
now find area for this new garden: π(2r)² → 4πr²
In common fractions: (old garden)/(new garden)
: ( πr² ) / ( 4πr² )
: 1/4
Answer:
Step-by-step explanation:
The only thing you need to watch carefully is the divisor which in this case is x - 3. The divisor, in synthetic division, is the number that will make the binomial go to 0.
x - 3 =0
x = 3
So the divisor is 3.
3 || 2 4 -35 15
6 30 -15
======================
2 10 -5 0
So the quotient is
2x^2 + 10x - 5 with no remainder
Answer:
Done below!
Step-by-step explanation:
(x - root)
(x - 2)(x - (-1))(x - (-5)) = (x - 2)(x + 1)(x + 5)
