Question

Which of the following terms shows the missing factor of 8x3y2 = (4xy)(__)? 2x2y 2y 2xy None of these choices are correct.

Answer 1

The missing factor in the equation 8x3y2 = (4xy)(__) is 2x2y, making the complete equation 8x3y2 = (4xy)(2x2y).

Step-by-step explanation:

To find the missing factor in the equation 8x3y2 = (4xy)(__), we need to divide the left-hand side of the equation by the part of the expression that is already outside the brackets. Starting with 8x3y2, we divide each term by the corresponding term in 4xy.

This leads to:

• 8 divided by 4 equals 2
• x3 divided by x equals x2
• y2 divided by y equals y

Combining the results, we get the missing factor to be 2x2y. Therefore, the entire equation is 8x3y2 = (4xy)(2x2y).