Answer:
The expression 
represents the number 
rewritten in a+bi form.
Step-by-step explanation:
The value of 
is ![i=\sqrt{-1}[tex] or [tex]i^{2}=-1[\tex].Now [tex]i^{4}](https://tex.z-dn.net/?f=i%3D%5Csqrt%7B-1%7D%5Btex%5D%20or%20%5Btex%5Di%5E%7B2%7D%3D-1%5B%5Ctex%5D.%3C%2Fstrong%3E%3C%2Fp%3E%3Cp%3E%3Cstrong%3E%3C%2Fstrong%3E%3C%2Fp%3E%3Cp%3ENow%20%5Btex%5Di%5E%7B4%7D)
in term of ![i^{2}[\tex] can be written as, [tex]i^{4}=i^{2}\times i^{2}](https://tex.z-dn.net/?f=i%5E%7B2%7D%5B%5Ctex%5D%20can%20be%20written%20as%2C%20%3C%2Fp%3E%3Cp%3E%5Btex%5Di%5E%7B4%7D%3Di%5E%7B2%7D%5Ctimes%20i%5E%7B2%7D)
Substituting the value,
Product of two negative numbers is always positive.
Now 
in term of ![i^{2}[\tex] can be written as, [tex]i^{3}=i^{2}\times i](https://tex.z-dn.net/?f=i%5E%7B2%7D%5B%5Ctex%5D%20can%20be%20written%20as%2C%20%3C%2Fp%3E%3Cp%3E%5Btex%5Di%5E%7B3%7D%3Di%5E%7B2%7D%5Ctimes%20i)
Substituting the value,
Product of one negative and one positive numbers is always negative.
Now 
can be written as follows,
Applying radical multiplication rule,
Now, 
and 
Now substituting the above values in given expression,
Simplifying,
Collecting similar terms,
Combining similar terms,
The above expression is in the form of a+bi which is the required expression.
Hence, option number 4 is correct.
Answer:
x - 3 > 10
Step-by-step explanation:
X = larger number, y = smaller number
x = 5y
x - y = 36
5y - y = 36
4y = 36
y = 36/4
y = 9
x = 5y
x = 5(9)
x = 45
ur numbers are 45 and 9 <==
Answer:
(12-7x)
Step-by-step explanation:
144 − 49x²
by observation, we can see that 144 = 12² and 49 = 7²
hence we can rewrite the equation
144 − 49x²
= 12² - 7²x²
= 12² - (7x)²
recall that the expression x² - y² = (x+y)(x-y)
hence,
12² - (7x)²
= (12 + 7x)(12-7x)
(12-7x) appears in the expression above, hence 12 -7x is a factor
I believe it is -7 but I may be misunderstanding the question
