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

1 Answer
Tash
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#

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