How do you multiply #(-6x+3y)^2#?
1 Answer
Jun 6, 2017
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#
