Question

упростите выражения
(3ху+1)(3х+у)-у(3х+у)во 2 степени
 

Answer 1

(3ху+1)(3х+у)-у(3х+у)^2=(3х+у)(3ху+1-3ху-у^2)=(3х+у)(1-у)(1+у)

Answer 2

$(3xy+1)(3x+y)-y(3x+y)^2= \ = 9x^2y+3xy^2+3x+y-y(9x^2+6xy+y^2)= \ = mathbf {9x^2y}+mathit {3xy^2}+3x+ymathbf{-9x^2y}mathit{-6xy^2}-y^3= \ = -3xy^2+3x+y-y^3= 3x(1-y^2)+y(1-y^2)= \ = (3x+y)(1-y)(1+y)$