585.
2) а² - а²b * ( a + b ) = ab
a²-b² a²+b² ( ab+b² a²+ab) a² - b²
1) 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+b
3) 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 - b²
591.
1) x - yz
y-z = x-z
y - xz y-z
x-z
1) x - yz =x(y-z)-yz =xy-xz-yz
y-z y-z y-z
2) y - xz = y(x-z)-xz =xy-yz-xz
x-z x-z x-z
3) xy-xz-yz : xy-yz-xz = xy-xz-yz * x-z = x-z
y-z x-z y-z xy-yz-xz y-z
2) a-b - b+c
c-b a+b = a-c
a+b + b-c a-c+2b
c-b a+b
1) 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