Which of the following is equal to (x + i)²− (x − i)²?

$$\frac{3}{2}=\frac{-(5m-3)}{3m}+\frac{7}{12m}$$
What is the solution for m in the equation above?

What is the sum of the zeros of function f defined by the equation
below?
f(x) = (2 − 3x)(x + 3) + 4(x²− 6)

What is the value of \(\left ( \frac{1}{2}+i\sqrt{5} \right )\left ( \frac{1}{2}-i\sqrt{5} \right )\)

$$\frac{t}{t-3}-\frac{t-2}{2}=\frac{5t-3}{4t-12}$$
If x and y are solutions of the equation above and y > x, what is the
value of y − x?

In how many different points does the graph of the function f(x) = x³−2x²+ x − 2 intersect the x-axis?

When \(x^{-1}-1\) is divided by x − 1, the quotient is

$$\frac{y^{3}+3y^{2}-y-3}{y^{2}+4y+3}$$
The expression above is equivalent to

Which of the following is equal to (13 + 17i)(4 − 9i)?

(9 + 2i)(4 − 3i) − (5 − i)(4 − 3i)
The expression above is equivalent to which of the following?

$$\left ( \frac{10x^{2}y}{x^{2}+xy} \right )\times \left ( \frac{(x+y)^{2}}{2xy} \right )+\left ( \frac{x^{2}-y^{2}}{y^{2}} \right )$$
Which of the following is equivalent to the expression above?

If y is not equal to 0, what is the value of \(\frac{6(2y)^{-2}}{(3y)^{-2}}\)?

If \(\frac{6+4i}{1-3i}\), what is the value of a + b?

If 27^{x}=9^{y-1}, then

The expression below is equivalent to
$$\frac{x^{2}+9x-22}{x^{2}-121} \div (2-x)$$

If x = 2i, y = −4, z = 3i, and i = √-1 then √x³yz =

(y²+ ky − 3)(y − 4) = y³ + by²+ 5y + 12
In the equation above, k is a nonzero constant. If the equation is true
for all values of y, what is the value of k?

If \(64^{2n+1}=16^{4n-1}\), what is the value of n?

Function g is defined by the equation below. If g (−8) = 375, what is
the value of a?
$$g(x)=a\sqrt{a(1-x)}$$

If (x − yi) + (a + bi) = 2x and i = √-1, then (x + yi)(a + bi) = 

Which equation(s) represent(s) the graph above?
I. y = (x + 2)(x²− 4x − 12)
II. y = (x − 3)(x²+ x − 2)
III. y = (x − 1)(x²− 5x − 6)

If m and p are positive integers and
\((2\sqrt{2})^{m}=32^{p},\, what \, is\, the \, value \, of\, \frac{p}{m}\)

If \(3^{x}=81 \, and\, 2^{x+y}=64,\, then\, \frac{x}{y}=\)

If \(4^{y}+4^{y}+4^{y}+4^{y}=16^{x}\), then y

When resistors R1and R2 are connected in a parallel electric circuit,
the total resistance is
\(\frac{1}{\frac{1}{R_{1}}+\frac{1}{R_{2}}}\) 
This fraction is equivalent to

If n and p are positive integers such that
\(8(2^{p})=4^{n}\), what is n in terms of p?

Which of the following is equivalent to 2i(xi − 4i²)?

Which of the following is equivalent to 2i²+ 3i³?

If \(g(x)=(x\sqrt{1-x})^{2}\), what is g(10)?

Which expression is equivalent to \(\frac{(2xy)^{-2}}{4y^{-5}}\)

Which of the following functions have zeros −1, 1, and 4?

If a, b, and c are positive numbers such that \(\sqrt{\frac{a}{b}}=8c\) and ac = b, what is the value of c?

A polynomial function contains the factors
x, x − 2, and x + 5. Which of the graph(s) above could represent the graph of this function?

$$g(x)=a\sqrt{41-x^{2}}$$
Function g is defined by the equation above where a is a nonzero real
constant. If g(2t)=√5, where i =√-1 , what is the value of a?

A meteorologist estimates how long a passing storm will last by using
the function\(t(d)=0.08d^{\frac{3}{2}}\) where d is the diameter of the storm, in miles, and t is the time, in hours. If the storm lasts 16.2 minutes, find its diameter, in miles

If k = 3, what is the solution of the equation below?
$$2\sqrt{x-k}=x-6$$