Question

1.

a) [(x - 5)(x + 3) + (2x + 4)(x + 1)](x + 3) =

b) (2 - x)[(x + 2)(x - 4)-(2x + 1)(-x - 3)] =

c)(x - 3)[(3x + 1)(2x - 2) + (4 - 2x)(5x - 1)]=

d)[(x + 1)(3x - 4)-(x + 5)(2x - 1)](x + 1)=

3.

a.2(-3a - 4b) - 3(a+ 2b) + 4(20 + 36)= a=-3 , b=2

b.-2 (a - 3b) + 4(b -2a) - 3(5a + 3b) = a=-1 , b=-4

c.[tex]3(x^{2} - 5x + 2) - 4(3 +2x + x^{2})= x=-2

d.[tex]2( - 2x^{2} + 5x - 1) -5(2- x - x^{2})= x=1

Answer 1

zad.1

a). [ x do potęgi 2 +3x - 5x -15 + 2xdo potęgi 2 + 2x + 4x + 4 ] (x+3)=

= (3xdo potęgi 2 + 4x -11 ) (x+3) =

= 3x do potęgi 3 + 9 x do potęgi 2 + 4x do potęgi 2 + 12x -11x -33 =

= 3x do potęgi 3 +13x do potęgi 2 + x - 33

b). (2-x) [ x do potęgi 2 -4x + 2x - 8 - 2x do potęgi 2 - 6x -x- 3] =

= (2-x) (xdo potęgi 2 - 9x-11) =

= 2x do potęgi 2 -18 x -22 - x do potęgi 3 + 9x do potęgi 2 + 11x =

= 11x do potęgi 2 - 7x - 22 - x do potęgi 3

c). ( x - 3) [ 6 x do potęgi 2 - 6x + 2x - 2 + 20x - 4 - 10 x do potęgi 2 + 2x =

= ( x-3) ( -4x do potęgi 2 + 18x - 6) =

= -4x do potęgi 3 + 18x do potęgi 2 - 6x + 12 x do potęgi 2  - 54x + 18 =

= 4x do potęgi 3 - 60 x + 18 + 30 x do potęgi 2

 

 

więcej nie zdąrze .

 

Answer 2

zad1

a)[(x-5)(x+3)+(2x+4)(x+1)](x+3)=

x*x+x*3-5*x-5*3+2x*x+2x*1+4*x+4*1(x+3)=

2x²+3x-5x-15+2x²+2x+4x+4(x+3)=

2x²+3x-5x-15+2x²+2x+4x+4x+12=

4x²++4x-3

b) (2-x)[(x+2)(x-4)-(2x+1)(-x-3)]=

(2-x)[(x*x-x*4+2*x-2*4+2x*x+2x*3-1*x-1*3)]=

(2-x)[2x-4x+2x-8+2x²+6x-x-3]=

(2-x)[5x+2x²-11]=

2*5x+2*2x²-2*11-x*5-x*2x²+x*11=

10x+4x²-22-5x-2x²+11x=

16x+2x²-22

c) (x-3)[(3x+1)(2x-2)+(4-2x)(5x-1)]=

(x-30[3x*2x-3x*2+1*2x-1*2+4*5x-4*1-2x*5x+2x*1]=

(x-3)[6x²-6x+2x-2+20x-4-10x²+2x]=

(x-3)[-4x²+18x-6]=

-x*4x²+x*18x-x*6+3*4x²-3*18+3*6=

-4x²+18x²-6x+12x²-54+18=

14x²+6x-36

d) 

 [(x+1)(3x+4)-(x+5)(2x-1)](x+1)=

[(x*3x+x*$+1*3x+1*4)(x*2x-x*1+5*2x-5*1)](x+1)=

[(3x ²+7x+4-2x²+9x-5)](x+1)=

[x²+16x-1](x+1)=

x²*x+16x*x-18x+x²*1+16x*1-1*1=

2x²+16x²-x+x²+16-1=

19x²-x-15

 

 

zad2 a)                                   dla a=3 b=2

 2(-3a-4b)-(3a+2b)+4(20+36)=

-6a-8b-3a+2b+80+144=

-9a-6b+224=

-9*3-6*2+224=

-27-12+224=

185 

b)

-2(a-3b)+4(b-2a)-3(5a+3b)=                   dla a=-1  b=-4

-2a+6b+4b-8a-15a-9b=

-25a-b=

-25*(-1)-(-4)=

25+4=29