Question

1.Przedstaw sumę w postaci iloczynu:

a) 5a - 10b + a² - 2ab

b)12x + 3y + 4xy² + y³

c) st² - 4s²t - st + 4s²

d) -9u²v - 3u + 3uv² + v

e) rst - 5rs + t² - 5t

Answer 1

A) 5a - 10b + a² - 2ab= =5(a-2b)+a(a-2b)= =(a-2b)(5+a) b)12x + 3y + 4xy² + y³= 3(4x+y)+y²(4x+y)= =(3+y²)(4x+y) c) st² - 4s²t - st + 4s²= =st(t-4s)-s(t-4s)= =(st-s)(t-4s) d) -9u²v - 3u + 3uv² + v= =-3u(3uv+1)+v(3uv+1)= =(-3u+v)(3uv-1) e) rst - 5rs + t² - 5t= =rs(t-5)+t(t-5)= =(rs+t)(t-5)