## Calculus with Applications (10th Edition)

$(x+y+z)(3x-2y-z)=3x^{2}+xy+2xz-2y^{2}-3yz-z^{2}$
$(x+y+z)(3x-2y-z)$ Evaluate the product indicated by multiplying all three terms of the first factor by every element in the second factor separately: $(x+y+z)(3x-2y-z)=...$ $...=3x^{2}-2xy-xz+3xy-2y^{2}-yz+3xz-2yz-z^{2}=...$ Simplify by combining like terms: $...=3x^{2}+xy+2xz-2y^{2}-3yz-z^{2}$