585.2)
а² -
а²b * (
a +
b ) =
ab a²-b² a²+b² ( ab+b² a²+ab) a² - b²1)
a +
b =
a +
b =
a² +b² ab+b² a²+ab b(a+b) a(a+b) ab(a+b)2)
a²b *
a²+b² =
a a²+b² ab(a+b) a+b3)
a² -
a =
a² -
a =
a² - a(a-b) =
a² - a² +ab =
ab a²-b² a+b (a-b)(a+b) a+b (a-b)(a+b) (a-b)(a+b) a² - b²591.1) x -
yz y-z =
x-z y -
xz y-z x-z1) x -
yz =
x(y-z)-yz =
xy-xz-yz y-z y-z y-z2) y -
xz =
y(x-z)-xz =
xy-yz-xz x-z x-z x-z3)
xy-xz-yz :
xy-yz-xz =
xy-xz-yz *
x-z =
x-z y-z x-z y-z xy-yz-xz y-z2)
a-b -
b+c c-b a+b =
a-c a+b +
b-c a-c+2b c-b a+b1)
a-b -
b+c =
(a-b)(a+b) - (b+c)(c-b) =
a² - b² - c² + b² =
a² - c² = c-b a+b (a+b)(c-b) (a+b)(c-b) (a+b)(c-b) =
(a-c)(a+c) (a+b)(c-b)2)
a+b +
b-c =
(a+b)(a+b) + (b-c)(c-b) =
(a+b)² - (c-b)(c-b) = c-b a+b (a+b)(c-b) (a+b)(c-b) =
a²+2ab+b²-c²+2bc-b² =
a² - c² +2ab + 2bc =
(a-c)(a+c) + 2b(a+c) = (a+b)(c-b) (a+b)(c-b) (a+b)(c-b) =
(a+c)(a-c+2b) (a+b)(c-b)3)
(a-c)(a+c) :
(a+c)(a-c+2b) =
(a-c)(a+c) *
(a+b)(c-b) =
a-c (a+b)(c-b) (a+b)(c-b) (a+b)(c-b) (a+c)(a-c+2b) a-c+2b