Question

Dam naj .

Zapisz w postaci sumy algebraicznej :
a) (1-2x)do 3
b) (5x + 1) do 3
c) (x-√2) do 3
d)(x+2) do 2 (x do 2 -2x+4)
e) (3x-1)do 2 (9xdo2 +3x+1)
f)(xdo2+5x+25) (x-5)do2
g) (x+2)(xdo2+4) (x-2)
h) (x-1) (x do 4 +4x do 2 + 16) (x-2)
Dziękuję Bardzo z góry

Answer 1

a(1-2x)do 3=1-6x+12x do2 -8x do 3

b(5x + 1) do 3=125x do 3 +125x do2+15x+1

c(x-√2) do 3=x do 3 - 3√2x do 2 +6x-2√2

d(x+2) do 2 (x do 2 -2x+4)=(x+2)(x+2)(x do 2 -2x+4)=(x+2)(x do 3 +8)=x do 4 +8x+2x do 3 +16

e) (3x-1)do 2 (9xdo2 +3x+1)=27x do 3 -1
f)(xdo2+5x+25) (x-5)do2=(xdo2+5x+25)(x-5)(x-5)=(x do 2 -125)(x-5)=x do 3 -5x do 2 -125x+625
g) (x+2)(xdo2+4)(x-2)=(x+2)(x do 3- 2x do 2 +4x-8)=x do 4-2x do 3+4x do 2-8x+2x do 3-4x do 2 +8x - 16=x do 4 -16
h) (x-1) (x do 4 +4x do 2 + 16) (x-2)=(x do 4 +4x do 2 + 16)(x do2-2x-x+2)=(x do 4 +4x do 2 + 16)(x do 2-3x+2)=x do 6-3x do 5 +6x do 2 -12x do 3 +24x do 2 -48x +32