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

1 Answer
Alan P.
Aug 12, 2015

(2x-y+3z)^2(2x−y+3z)2
color(white)("XXXX")XXXXcolor(white)("XXXX")XXXX= 4x^2-4xy+12xz+y^2-6yz+9z^2=4x2−4xy+12xz+y2−6yz+9z2

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

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