Упростите выражение (-1/(x-4)+16/(x^2-16)+2/(x+4))(x^2-8x+16)

Question

Упростите выражение (-1/(x-4)+16/(x^2-16)+2/(x+4))(x^2-8x+16)

Answer 1

1) (-(x+4)+16)/(x-4)(x+4) = (-x -4 +16)/(x-4)(x+4)=(12-x)/(x-4)(x+4)

2) 2/(x+4)(x²-8x+16) = 2 /(x+ 4)(x-4)²

3) (12-x)(x-4)+2) /(x+4)(x-4)² =(16x-48-x²+2)/(x+4)(x-4)² = (16x-46-x²)/(x+4)(x-4)²