How do you evaluate (\frac { 3} { 4} x - \frac { 5} { 6} y ^ { 2} ) * (3/4x - 5/6 y^2)?

1 Answer
Mar 13, 2018

9/16x^2 + 10/8xy^2 + 25/36y^4

Explanation:

You can use the grid method to make sure you multiply each thing by both things in the other bracket.

3/4x * 3/4x = 9/16x^2
3/4x * 5/6y^2 = 5/8xy^2
5/6y^2 * 3/4x = 5/8xy^2
5/6y^2 * 5/6y^2 = 25/36y^4

Then you can collect like terms and simplify your answer:
9/16x^2 + 5/8xy^2 + 5/8xy^2 + 25/36y^4 =
9/16x^2 + 10/8xy^2 + 25/36y^4