Question

спростіть вираз 8x –
(x-2)²

Answer 1

1)1/(x+2)²-2/(x-2)(x+2)+1/(x-2)²=[(x-2)²-2(x²-4)+(x+2)²]/(x-2)²(x+2)²=
=(x²-4x+4-2x²+8+x²+4x+4)/(x-2)²(x+2)²=16/(x-2)²(x+2)²
2)(x+2)^4/16*16/(x-2)²(x+2)²=(x+2)²/(x-2)²
3)8x/(x-2)²-(x+2)²/(x-2)²=(8x-x²-4x-4)/(x-2)²=-(x²-4x+4)/(x-2)²=-(x-2)²/(x-2)²=-1