Question

7/101 Doprowadź wyrażenia do najprostszej postaci .

a)2x(x-5)+3(x do kwadratu-2)+(x+4)do kwadratu-2(x-2)(x+2)

b)4(3-x do kwadratu )+4(x-1)do kwadratu-3x(2-x)+(3-x)(3+x)

c)(x-5)do kwadratu-3(x-1)(x+1)-(2x do kwadratu-1)+x(2x-3)

d)(4+x)(4-x)-2x(1-3x)+2(x+2)do kwadr. -4(x do kwadrat. - 1)

8/102 Doprowadź wyrażenia do najprostszej postaci .

a)(x-2)do kwad .+3(4-x)(x+4)-2(2x+1)do kwadr .

b)(x+3) do kwadr.-2(3-x)(x+3)+4(3x-1) do kwad.

c)(2-x)(x+2)-4(2x-1)do kwadr . +2(x+3) do kwadr .

d)(x+5)(5-x)+3(3x+1 )do kwadr .-4(x-2) do kwadr.

Prosze pilne . !

Answer 1

7/101

 

a)2x(x-5)+3(x do kwadratu-2)+(x+4)do kwadratu-2(x-2)(x+2)

2xkwadrat-10+3xkwadrat-6+xkwadrat+4xkwadrat+8-2x+4+2x+4

2xkwadrat+3xkwadrat+xkwadrat+4xkwadrat-10-6+8+4+4-2x+2x

10xkwadrat-20-4x

 

b)4(3-x do kwadratu )+4(x-1)do kwadratu-3x(2-x)+(3-x)(3+x)

12-4xkwadrat+4+xkwadrat-2x-2-6x+3x+9+3x+3x-2x

12+4-2+9-4xkwadrat+xkwadrat-2x-6x+3x-2x

23-5xkwadrat+12x

 

d)(4+x)(4-x)-2x(1-3x)+2(x+2)do kwadr. -4(x do kwadrat. - 1)

16-4x+4x+xkwadrat-2x+6x+2+xkwadrat+4xkwadrat+4-4xkwadrat+4

16+2+4+4-4x+4x-2x+6x+xkwadrat+xkwadrat+4xkwadrat-4xkwadrat

26-12x+2xkwadrat

 

 

c)(x-5)do kwadratu-3(x-1)(x+1)-(2x do kwadratu-1)+x(2x-3)

xkwadrat-25-3x+3-3x-3-2x-1+2xkwadtar+3x

xkwadrat+2xkwadrat-25+3-3-1-3x-3x-2x+3x

3xkwadrat-24+x

 

 

8/102

 

a)(x-2)do kwad .+3(4-x)(x+4)-2(2x+1)do kwadr .

xkwadrat-4x-4+3+4x+16-xkwadrat-4x-2+4xkwadrat+5x+2

xkwadrat-xkwadrat+4xkwadrat-4x+4x-4x+5x-4+3+16-2+2

4xkwadrat-13x-23

 

 

b)(x+3) do kwadr.-2(3-x)(x+3)+4(3x-1) do kwad.

xkwadrat+9x+9-2+3x+9-xkwadrat-9x+4-6xkwadrat-5x-2

xkwadrat-xkwadrat-6xkwadrat+9x+3x-9x-5x+9-2+9+4-2

-6xkwadrat-6x+18

 

c)(2-x)(x+2)-4(2x-1)do kwadr . +2(x+3) do kwadr .

2x+4-xkwadrat-2x-4+4x-4xkwadrat-2+2+xkwadrat+6x+6

2x-2x+6x+4-4-2+2+6-xkwadrat-4xkwadrat+xkwadrat

6x+10-2xkwadrat

 

 

d)(x+5)(5-x)+3(3x+1 )do kwadr .-4(x-2) do kwadr.

5x-xkwadrat+25+5x+3+9xkwadrat+4x+1-4+xkwadrat-4x-4

5x+5x+4x-4x-xkwadrat+9xkwadrat+xkwadrat+25+3+1-4-4

10x-11xkwadrat+20