Question

Temat: Mnożenie sum algebraicznych.

2kl gim.

Zadanie 13 Str podręcznik 83

Zapisz w jak najprostszej postaci :

A) (x+1)(x-2)+(x+2)(x-1)

B) (5k+n)(k-2n)-k(4k+n)

C)(4y+3)(y-2)-2y(4-2y)

D)-(3c-2)(c-1)-c(c-2)

E)2(3-1)-(a+2)(a+2)

Proszęo szybką odp . Z góry bardzo dziękuję .:) ( Na jutro )

Answer 1

A)(x+1)(x-2)+(x+2)(x-1) = x²-2x+x-2+x²-x+2x-2=2x²-4

B) (5k+n)(k-2n)-k(4k+n)=5k²-10kn+nk-2n²-4k²-kn=k²-10kn-2n²

C)(4y+3)(y-2)-2y(4-2y)=4y²-8y+3y-6-8y+4y²=8y²-13y-6

D)-(3c-2)(c-1)-c(c-2)=-(3c²-3c-2c+2)-c²+2c=-3c²+3c+2c-2-c²+2c=-4c²+7c-2

E)2(3-1)-(a+2)(a+2)=6a²-2-(a²+2a+2a+4)=6a²-2-a²-2a-2a-4=5a²-4a-6

Answer 2

  A) (x+1)(x-2)+(x+2)(x-1)=x2-2x+x-2+x2-x+2x-2=2x2-4

  B) (5k+n)(k-2n)-k(4k+n)=5k2-10kn+kn-2n2-4k2-kn=k2-10kn-2n2

  C)(4y+3)(y-2)-2y(4-2y)=4y2-8y+3y-6-8y+4y2=8y2-13y-6

  D)-(3c-2)(c-1)-c(c-2)=-3c2+3c+2c-2-c2+2c=2c2+7c-2

  E)2(3 -1)-(a+2)(a+2)=6a2-2-a2-2a-2a-4=5a2-4a-6