If (x+iy)³ = y+vi then show that (y/x + v/y) = 4(x²-y²)

Step-by-step explanation:

Given that,

We know,

So, using this, we get

On comparing real and Imaginary parts, we get

and

Now, Consider

Hence, Proved

reduce the friction between its moving parts

step-by-step explanation:

in fact, by reducing the friction between the moving parts of the machine, it is possible to reduce the energy wasted due to this friction; therefore, more input energy is converted into useful work, and this will improve the efficiency of the machine.

complete the steps to find the area of the trapezoid.

area of rectangle = 256   square units

area of triangle 1 = 24  square units

area of triangle 2 = 16  square units

area of triangle 3 =   96 square units

area of trapezoid = 120  square units

step-by-step explanation: