1.zapisz w jak najprostszej postaci: [3u³v-3vu*5u²+(3u²v*2u-vu³)]:4uv
4uv jest w mianowniku ,
2.Oblicz wartości liczbowe dla podanych sum algebraicznych dla : x=-1 y=0,1 a)4(5y+1)(1-5y)-5(4x+1)(1-4x) b)(x+2y)²+(2x-y)²-5(x-y)(x+y) c)3y(3y-2x)-(3-x)(x+3)-(x-3y)²
Urban91
1. [3u³v-3vu*5u²+(3u²v*2u-vu³)]:4uv=[3u³v-15u³v+6u³v-vu³]:4uv= -7u³v:4uv=(-1¾u²) a) 4(5y+1)(1-5y)-5(4x+1)(1-4x)=(20y+1)(1-5y)-(20x+1)(1-4x)= 20y+1-100y-5y-20x+80x-1+4x=60x-85y=60*(-1)-85*0,1=(-60)-8,5=-68,5 b) (x+2y)²+(2x-y)²-5(x-y)(x+y)=x²+4xy+4y²+4x²-4xy+y²-5x²+5y²=10y²= 10*(0,1)²=0,1 c) 3y(3y-2x)-(3-x)(x+3)-(x-3y)²=9y²-6xy-3x-9+x+3x-x²+6xy-9y²= =(-x²)+x-9=(-1)²-1-9=-10
[3u³v-3vu*5u²+(3u²v*2u-vu³)]:4uv=[3u³v-15u³v+6u³v-vu³]:4uv=
-7u³v:4uv=(-1¾u²)
a)
4(5y+1)(1-5y)-5(4x+1)(1-4x)=(20y+1)(1-5y)-(20x+1)(1-4x)=
20y+1-100y-5y-20x+80x-1+4x=60x-85y=60*(-1)-85*0,1=(-60)-8,5=-68,5
b)
(x+2y)²+(2x-y)²-5(x-y)(x+y)=x²+4xy+4y²+4x²-4xy+y²-5x²+5y²=10y²=
10*(0,1)²=0,1
c)
3y(3y-2x)-(3-x)(x+3)-(x-3y)²=9y²-6xy-3x-9+x+3x-x²+6xy-9y²=
=(-x²)+x-9=(-1)²-1-9=-10
Prosze bardzo oto twoje rozwiazania ;D