4. Simplify: (-z-2w2)(z-2)-1

-z⁻⁵w²

Step-by-step explanation:

(-z⁻²w²){(z⁻²)⁻¹}

simplify each first

{(z⁻²)⁻¹}  = z⁻²⁻¹ =  z⁻³

(-z⁻²w²) z⁻³

-z⁻² z⁻³ w²)

-z⁻²⁺⁽⁻³⁾w²

-z⁻²⁻³w²

-z⁻⁵w²

x= -3 and

step-by-step explanation:

to find the roots of a cubic, use division or factoring to find the factors then set equal to 0. as this is a difference of cubes, it factors into

where a is the cube root of .

here   this is 27 and the cube root of 27 is 3. so we write using the form:

.

set each factor to 0 and solve for x.

x-3=0

x=3

the quadratic expression does not factor and must be solved using the quadratic formula.

where a = 1, b=3, and c=9

this cubic has two complex roots.