Berechne und vereinfache

Got it !

 $6x+3y-(5x+2y+3z)+(-4x-3y)=$ $-3x-2y-3z$ $(4x^3-2x^2+x+1)-(-x^2+3x^3-x-7)-(x^3-4x^2+8+2x))=$ $3x^2$ $(x+2y-6x)- [3y-(6x-6y) ] - [(x-3y)-(2x+5y) ] =$ $2x+y$ $2a-(3b+3c)- {5b-(6c-6b)+5c-[4a-(2c-5b) ]}=$ $6a-9b-4c$ $(a+b-c)c+(a-b+c)b+(-a+b+c)a-2[a(b-a)+b(c-b)+a(a-c)] =$ $a^2+b^2+c^2$ $[x^2+(n-1)x+1]x + [x^2-(n-1)x+1]x =$ $2x^3+2x$ $x[2x+y-(x+2y)]+x[3x-2y-(2x-3y)]-x[x+3y-(2x+2y)]=$ $3x^2-xy$ $-2ab^2c^2(4a^3-3b^2+c) =$ $-8a^4b^2c^2+6ab^4c^2-2ab^2c^3$ $91a^2b^2c^2-7a^2b(13bc^2-9b^2c)-21b^3c(3a^2-2c^2) =$ $42b^3c^3$ $13a^2y^2(8a^5y^7-2a^4y^9)-2a^4y^5(9a^3y^4-13a^2y^6)) =$ $86a^7y^9$ $(2a+3c)(5a-3c) =$ $10a^2+9ac-9c^2$ $(5a^2b+9ab^2)(3a+4b) =$ $15a^3b+47a^2b^2+36ab^3$ $x(2x^2-3y^2)(5x^3-4y^3) =$ $10x^6-15x^4y^2-8x^3y^3+12y^5$ $(2a^3+4a^2+8a+16)(3a-6) =$ $6a^4-96$ $(4a^2+2ab+b^2)(2a-b)(8a^3+b^3) =$ $64a^6-b^6$ $(a+2b)^2 =$ $(a+2b)(a+2b)=a^2+4ab+4b^2$ $y(x+y)^3 =$ $x^3y+3x^2y^2+3xy^3+y^4$