Question

mnożenie skrócone. Oblicz

np: (x+2)^2=x^2+4+4x

(x+5)^2=

(x+6)^2=

(x-1)^2=

(x-4)^2=

(x-8)^2=

(x+3( (x-3)=

(x-5) (x+5)=

(x-9) (x+9)=

(x+3)^2+(x+5)^2=

(x-2)^2-(x+1)^2=

(x+7) (x-7)+(x+2)^2=

Answer 1

Rozwiązanie w załączniku.

Answer 2

(x+5)^2=x^2+10x+25

(x+6)^2=x^2+12x+36

(x-1)^2=x^2-2x+1

(x-4)^2=x^2-8x+16

(x-8)^2=x^2-16x+64

(x+3( (x-3)=x^2-9

(x-5) (x+5)=x^2-25

(x-9) (x+9)=x^2-81

(x+3)^2+(x+5)^2=x^2+6x+9+x^2+10x+25=2x^2+16x+34

(x-2)^2-(x+1)^2=x^2-4x+4-(x^2+2x+1)=x^2-4x+4-x^2-2x-1=-6x+3

(x+7) (x-7)+(x+2)^2=x^2-49+x^2+4x+4=2x^2+4x-45

 

w krazie czego korzystalem z takich wzorów

(a-b)(a+b)=a^2-b^2

(a-b)^2=a^2-2ab+b^2

(a+b)^2=a^2+2ab+b^2

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