(16+4*x)*1/(4*x^2+32*x+64)+(-32-8*x)*(2*x^2+16*x)*1/((4*x^2+32*x+64)^2) если x=-1/3 (упростите выражение)

$$frac{left(2 x^{2} + 16 xright) left(- 8 x – 32right)}{left(4 x^{2} + 32 x + 64right)^{2}} + frac{4 x + 16}{4 x^{2} + 32 x + 64}$$

$$frac{left(2 x^{2} + 16 xright) left(- 8 x – 32right)}{left(4 x^{2} + 32 x + 64right)^{2}} + frac{4 x + 16}{4 x^{2} + 32 x + 64}$$

(16 + 4*(-1/3))/(4*(-1/3)^2 + 32*(-1/3) + 64) + ((-32 – 8*(-1/3))*(2*(-1/3)^2 + 16*(-1/3)))/(4*(-1/3)^2 + 32*(-1/3) + 64)^2

$$frac{left(2 (-1/3)^{2} + 16 (-1/3)right) left(- 8 (-1/3) – 32right)}{left(4 (-1/3)^{2} + 32 (-1/3) + 64right)^{2}} + frac{4 (-1/3) + 16}{4 (-1/3)^{2} + 32 (-1/3) + 64}$$

(16 + 4*(-1)/3)/(4*(-1/3)^2 + 32*(-1)/3 + 64) + ((-32 – 8*(-1)/3)*(2*(-1/3)^2 + 16*(-1)/3))/(4*(-1/3)^2 + 32*(-1)/3 + 64)^2

$$frac{left(-32 – – frac{8}{3}right) left(frac{-16}{3} + 2 left(- frac{1}{3}right)^{2}right)}{left(frac{-32}{3} + 4 left(- frac{1}{3}right)^{2} + 64right)^{2}} + frac{frac{-4}{3} + 16}{frac{-32}{3} + 4 left(- frac{1}{3}right)^{2} + 64}$$

432/1331

$$frac{432}{1331}$$

$$frac{left(- 8 x – 32right) left(2 x^{2} + 16 xright)}{left(4 x^{2} + 32 x + 64right)^{2}} + frac{4 x + 16}{4 x^{2} + 32 x + 64}$$

(16.0 + 4.0*x)/(64.0 + 4.0*x^2 + 32.0*x) + (-32.0 – 8.0*x)*(2.0*x^2 + 16.0*x)/(64.0 + 4.0*x^2 + 32.0*x)^2

$$frac{1}{left(4 x^{2} + 32 x + 64right)^{3}} left(left(- 8 x – 32right) left(2 x^{2} + 16 xright) left(4 x^{2} + 32 x + 64right) + left(4 x + 16right) left(4 x^{2} + 32 x + 64right)^{2}right)$$

$$frac{1}{left(x left(x + 8right) + 16right)^{2}} left(x left(- x – 4right) left(x + 8right) + left(x + 4right) left(x left(x + 8right) + 16right)right)$$

16
———————-
3 2
64 + x + 12*x + 48*x

$$frac{16}{x^{3} + 12 x^{2} + 48 x + 64}$$

16
———————-
3 2
64 + x + 12*x + 48*x

$$frac{16}{x^{3} + 12 x^{2} + 48 x + 64}$$

16
——–
3
(4 + x)

$$frac{16}{left(x + 4right)^{3}}$$