Question

How do you find the product `(9-2y)^2`?

Answer 1

`4y^2-36y+81`

Explanation:

`(9-2y)^2=(9-2y)(9-2y)`

`"each term in the second factor is multiplied by each term"`
`"in the first factor"`

`rArr(color(red)(9-2y))(9-2y)`

`=color(red)(9)(9-2y)color(red)(-2y)(9-2y)`

`"distributing gives"`

`=81-18y-18y+4y^2`

`=4y^2-36y+81`