Question

Pomocy :cc
1. Zamień iloczyn na sumę i zredukuj wyrazy podobne :
a) (a-1)(a+2)
b) (2x-4)(5-8x)
c) (4ab-c)(2c+3ab)
d) (3x+1) * 3x(3x-1)
e) (x-1)(x-2)(x-3)
f) ( x^2 -1) (1+x^2) (x-2)
P.S x^2 = x do potęgi drugiej

Daje naj ! :>

Answer 1

a) (a-1)(a+2)=a^2+2a-a-2=a^2+1-2

b) (2x-4)(5-8x)=10x-16x^2-20+32x=42x-16x^2-20

c) (4ab-c)(2c+3ab)=8abc+12x^2b^2-2x^2-3abc=5abc+12x^2b^2-2x^2

d) (3x+1) * 3x(3x-1)=(3x+1)(9x^2-3x)=27x^3-9x^2+9x^2-3x=27x^3-3x

e) (x-1)(x-2)(x-3) = (x^2-2x-x+2)(x-3) = x^3-3x^2-2x^2+6x-x^2+3x+2x-6 =

     = x^3 -6x^2 +11x -6

f) ( x^2 -1) (1+x^2) (x-2)= (x^2 + x^4 -1 -x^2)(x-2) =

     =  x^3 + x^5 - x -x^3 -2x^2 -2x^4+2+2x^2 = x^5 - x -2x^4 +2