what are the answers to the following:
1. (a^2-7a-18)/4a^3 / (a^2-4a-45)/2a^3-4a^2 times (a^2 3a-10)/a^2-4a 4 =
2. xy xz/xz-z^2 times xy-yz/xz yz / y^2 yz/x^2 xy =
3. (x-y)^3/y^3 z^3 / x^2-2xy y^2/y^2-yz z^2 =
11 hours ago - 4 days left to answer.
1. (a-7a-18)/4a / (a-4a-45)/(2a-4a) times (a 3a-10)/(a-4a 4)
= (a-7a-18)/4a (2a-4a)/(a-4a-45) (a 3a-10)/(a-4a 4)
= (a 2)(a-9)/4a 2a(a-2)/(a 5)(a-9) (a 5)(a-2)/(a-2)
= 2a(a 2)(a-2)(a-9)(a 5) / 4a(a 5)(a-9)(a-2)
= (a 2)/2a. (As separate fractions, it would be 1/2 1/a.)
2. (xy xz)/(xz-z) times (xy-yz)/(xz yz) / (y yz)/(x xy)
= x(y z)/(z(x-z)) y(x-z)/(z(x y)) / y(y z)/(x(x y))
= x(y z)/(z(x-z)) y(x-z)/(z(x y)) x(x y)/(y(y z))
= x(x y)(y z)(x-z) / yz(x y)(y z)(x-z)
= x/yz.
3. (x-y)/(y z) / (x-2xy y)/(y-yz z)
= (x-y)/(y z) (y-yz z)/(x-2xy y)
= (x-y)/(y z) (y-yz z)/(x-y)
= (x-y)/(x-y) (y-yz z)/(y z)
= (x-y) (y-yz z)/((y z)(y-yz z))
= (x-y)/(y z).
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