Question

упростит выражения 2+(4-c)^3-(65-c((6-c)^2+12))+c(c+2)

Answer 1

$2+(4-c)^3-(65-c((6-c)^2+12))+c(c+2)=\\\\2+64-48c+12c^2-c^3-(65-c((36-12c+c^2)+12))+c^2+2c=\\\\66-48c+12c^2-c^3-(65-c(36-12c+c^2+12))+c^2+2c=\\\\66-48c+12c^2-c^3-(65-36c+12c^2-c^3-12c)+c^2+2c=\\\\66-48c+12c^2-c^3-65+36c-12c^2+c^3+12c+c^2+2c=c^2 + 2c + 1$