Question

Desenvolva a expressão (2x-3y)^4

Answer 1

(2x-3y)×(2x-3y) = 4x-6xy+9y

(2x-3y)×(2x-3y)×(2x-3y)×(2x-3y)=
(4x-6xy+9y)×(4x-6xy+9y)=
16x²-24x²y+36xy-24x²y+36x²y²-54xy²+36xy-54xy²+81y²=
16x²+ (-24x²y-24x²y)+(36xy+36xy)+(36x²y²)+(-54xy²-54xy²)+81y²=

16x²-48x²y+72xy+36x²y²-108xy²+81y²=

x²(16-48y)+y²(81-108x²)+36x²y²