Question

zapisz w jak najprostszej postaci A.2x(x-5)-3(x^2-2x)+(x-2)x B.a(a+b+c)-b(a-b+c)-c(a-b-c) C.x(x^2+2x+1)-(-4x^3+8x^2-6):2

Answer 1

A.2x(x-5)-3(x^2-2x)+(x-2)x = 2x^2-10x-3x^2+6x+x^2-2x=-6x

B.a(a+b+c)-b(a-b+c)-c(a-b-c) =  a^2+ab+ac-ab+b^2-bc-ac+bc+c^2 = a^2+b^2+c^2

C.x(x^2+2x+1)-(-4x^3+8x^2-6):2 = 3x^3-2x^2+x+3

Answer 2

A.2x(x-5)-3(x^2-2x)+(x-2)x = 2x²-10x-3x²+6x+x²-2x = -6x

 

B.a(a+b+c)-b(a-b+c)-c(a-b-c) = a²+ab+ac-ab+b²-bc-ac+bc+c² = a²+b²+c²

 

C.x(x^2+2x+1)-(-4x^3+8x^2-6):2 = (x³+2x²+x+4x³-8x²+6)÷2 = 5x³-6x²+x+6 / 2