1

Problem

Simplify: \$(3x^2) \div (2y) \times (4y^2) \div (3x)\$

2

Step

Given expression

\$(3x^2) \div (2y) \times (4y^2) \div (3x)\$

3

Step

To simplify, you multiply the numerators together and the denominators together:

\$(3x^2) \times(4y^2) \div (2y) \times (3x)\$

4

Step

Simplify each part:

\$(12x^2y^2) \div (6xy)\$

5

Step

Now, cancel the common factor of 6 from the numerator and denominator:

\$(2x^2y^2) \div (xy)\$

6

Step

Finally, simplify further by canceling one factor of x and one factor of y:

\$2xy\$

7

Solution

So, the simplified expression is 2xy.

8

Sumup

Please Summarize Problem, Hint, Clue, Formula and Steps

Choices

9

Choice-A

This step is not correct because the simplified expression is \$2xy\$, not \$xy\$

Wrong \$xy\$

10

Choice-B

This step is not correct because the simplified expression is \$2xy\$, not \$3xy\$

Wrong \$3xy\$

11

Choice-C

This step is correct because the simplified expression is \$2xy\$.

Correct \$2xy\$

12

Choice-D

This step is not correct because the simplified expression is \$2xy\$, not \$4xy\$

Wrong \$4xy\$

13

Step

Option

C

14

Sumup

Please Summarize Choices