Question

How do you multiply `(-6x+3y)^2`?

Answer 1

`36x^2-36xy+9y^2`

Explanation:

`"each term in the second bracket must be multiplied"`
`"by each term in the first bracket as shown below"`

`(-6x+3y)^2`

`=(color(red)(-6x+3y))(-6x+3y)`

`=color(red)(-6x)(-6x+3y)color(red)(+3y)(-6x+3y)`

`=(color(red)(-6x)xx-6x)+(color(red)(-6x)xx3y)+(color(red)(3y)xx-6x)`
`color(white)(=)+(color(red)(3y)xx3y)`

`=36x^2+(-18xy)+(-18xy)+9y^2`

`=36x^2-18xy-18xy+9y^2`

`=36x^2-36xy+9y^2`