29.
а) x²y-xy² = xy(x-y) = y
x²-xy x(x-y)
б) 3ac+6a = 3a(c+2) = 3
ac²+2ac ac(c+2) c
в) m(m²-n²) = m(m-n)(m+n) = m-n
m²n+mn² mn(m+n) n
г) 4a-2a² = 2a(2-a) = a
4b-2ab 2b(2-a) b
д) a(9-a²) = a(3-a)(3+a) = 3-a
3a+a² a(3+a)
е) ac² -bc² = c² (a-b) = c
c(a²-b²) c(a-b)(a+b) a+b
30.
a) x²-y² = (x-y)(x+y) = x-y
(x+y)² (x+y)² x+y
б) (x-y)² = (x-y)(x-y) = x-y
x²-y² (x-y)(x+y) x+y
в) x²-9 = (x-3)(x+3) = x-3
x²+6x+9 (x+3)² x+3
г) x²-10x+25 = (x-5)² = x-5
x²-25 (x-5)(x+5) x+5