Consider the following expression and the simplified expression. Expression Simplified Expression 3 x squared + 5 y squared box + 3 box + 4 y squared + 6 9 x squared minus y squared + 9 Which terms could be in the boxes to make the expressions equivalent? Positive 6 x squared and Negative 6 y squared Positive 6 x squared and Negative 10 y squared Positive 9 x squared and Negative 10 y squared Positive 9 x squared and Negative 6 y squared

The correct answer is:

Step-by-step explanation:

We are given the term:

We have to fill in to the empty spaces such that the above equation gets satisfied.

First of all, let us simplify the LHS (Left Hand Side):

Now, let us equate the LHS and  RHS (Right Hand Side):

Equating the coefficients of in LHS and RHS:

One box will have value =

Other box will have value =

The correct answer is:

So, if we fill the boxes with above values, the expression will be simplified as given.