Question

Wymnóż przez nawiasy
a) (x+a-z)(x+a-y)(x-a)

b) (x+y)(x-y+a)(x-y+z)

Answer 1

A)(x+a-z)(x+a-y)(x-a)=(x²+xa-xy+ax+a²-ay-zx-za+zy)(x-a)=(x²+2ax-xy+a²-ay+za)(x-a)=x³-ax²-2ax²-2a²x-x²y+axy+a²x-a³-axy+a²y+azx-a²z=x³-3ax²-a²x-x²y-a³-axy+a²y+azx-a²z
b)(x+y)(x-y+a)(x-y+z)=(x²-xy+ax+xy-y²+ay)(x-y+z)=(x²+ax+ay-y²)(x-y+z)=x³-x²y+x²z+ax²-axy+axz+axy-ay²+ayz+xy²+y³-y²z=x³-x²y+x²z+ax²+axz-ay²+ayz+xy²+y³-y²z