Which expression is equivalent to the following complex fraction? StartFraction 2 Over x EndFraction minus StartFraction 4 Over y EndFraction divided by StartFraction negative 5 Over y EndFraction + StartFraction 3 Over x EndFraction
StartFraction 3 y + 5 x Over 2 (y minus 2 x) EndFraction
StartFraction 2 (y minus 2 x) Over 3 y minus 5 x EndFraction
StartFraction 2 (y minus 2 x) (3 y minus 5 x) Over x squared y squared EndFraction
StartFraction x squared y squared Over 2 (y minus 2 x) (3 y minus 5 x) EndFraction

Step-by-step explanation:

When you simplify the numerator and the denominator, you find they both have denominators of xy. So, the ratio of those is the ratio of their numerators.

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.