Question

Mrs. Cho wrote the following problem on the board.

Problem: StartFraction 1 Over x squared EndFraction minus StartFraction 2 Over y EndFraction divided by y minus 2 x squared

Step 1: StartFraction y Over x squared y EndFraction minust StartFraction 2 x squared Over x squared y EndFraction divided by y minus 2 x squared

Step 2: StartFraction y minus 2 x squared Over x squared y EndFraction divided by StartFraction y minus 2 x squared Over 1 EndFraction

Step 3: StartFraction y minus 2 x squared Over x squared y EndFraction times StartFraction 1 Over y minus 2 x squared EndFraction

What should Mrs. Cho do next?

Answer 1

Multiply the numerators and the denominators.

Explanation:

Problem:
`(1)/(x^2)- (2)/(y)/ y-2x^2`

Step 1:
`(y)/(x^2y)- (2x^2)/(x^2y)/ y-2x^2`

Step 2:
`(y-2x^2)/(x^2y) / (y-2x^2)/(1)`

Step 3:
`(y-2x^2)/(x^2y) X (1)/(y-2x^2)`

The next step would be to multiply the numerators and the denominators.

Step 4:
`(y-2x^2)/((x^2y)(y-2x^2))`

Since
`y-2x^2` is common in the numerator and denominator, it divides itself, thus our result is:

`(1)/(x^2y)`