Question

Expand this (3x-2/3y)^2

Answer 1

9x² - 4xy +
`(4)/(9)` y²

Explanation:

Each term in the second factor is multiplied by each term in the first factor, that is

3x(3x -
`(2)/(3)` y ) -
`(2)/(3)` y(3x -
`(2)/(3)` y ) ← distribute both parenthesis

= 9x²- 2xy - 2xy +
`(4)/(9)` y² ← collect like terms

= 9x² - 4xy +
`(4)/(9)` y²