How do you simplify #(2x-y+3z)^2#?

1 Answer
Aug 12, 2015

Answer:

#(2x-y+3z)^2#
#color(white)("XXXX")##color(white)("XXXX")##= 4x^2-4xy+12xz+y^2-6yz+9z^2#

Explanation:

#{: (color(red)(xx), color(red)(" |"), color(red)(2x), color(red)(-y), color(red)(+3z)), (color(red)("---"),color(red)("-+-"),color(red)("------"),color(red)("------"),color(red)("------")), (color(red)(2x), color(red)(" |"), 4x^2, -2xy, +6xz), (color(red)(-y), color(red)(" |"), -2xy, +y^2, -3yz), (color(red)(+3z),color(red)(" |"),+6xz, -3yz, +9z^2) :}#

Grouping terms with identical variable factors:
#color(white)("XXXX")##= 4x^2-4xy+12xz+y^2-6yz+9z^2#