Question

$(y + 2 + \frac{8}{y - 2} ) \div \frac{ {y}^{2} + 4 }{4 - 4y + {y}^{2} }$
Упростить выражение:​

Answer 1

y+2 + 8/(y-2) = ( (y+2)(y-2) + 8)/(y-2) = (y^2 - 4 + 8)/(y-2) = (y^2+4)/(y-2)  (1)

(y^2+4)/(4-4y+y^2) = (y^2+4)/(y-2)^2 (2)

(1) : (2) = (y^2+4)/(y-2) * (y-2)^2/(y^2+4) = y-2