A) a(x-5) - 7(5-x)= ax - 5a - 35 + 7x= ax + 7x - 5a - 35
б) 24a^2bc - 12a^2bc^2= 12a^2bc(2 - c)
в) ab - ac + ad - b + c= ab - b + ad - ac + c= b(a - 1) + d(a - c) + c
г) x^3 + x^2z - 2xz^2 - 2z^3= x^2(x + z) - 2z^2(x + z)= (x^2 - 2z^2)(x + z)= (x + z)(x + z)(x - 2z)
д) 2ac + 6bc - 4ad - 12bd= 2ac - 4ad + 6bc - 12bd= 2a(c - 2d) + 6b(c - 2d)= (2a + 6b)(c - 2d)
е) 12a^2 - 6bc + 9ac - 8ab= 12a^2 - 8ab + 9ac - 6bc= 4a(3a - 2b) + 3c(3a - 2b)= (4a + 3c)(3a - 2b)
ж) -12a^2p + 15p^3 + 8a^2 - 10a^2p^2= -12a^2p + 8a^2 - 10a^2p^2 + 15p^3= -4a^2(3p - 2)(5p^2 + 3)
A) a(x-5) - 7(5-x)
= ax - 5a - 35 + 7x
= ax + 7x - 5a - 35
б) 24a^2bc - 12a^2bc^2
= 12a^2bc(2 - c)
в) ab - ac + ad - b + c
= ab - b + ad - ac + c
= b(a - 1) + d(a - c) + c
г) x^3 + x^2z - 2xz^2 - 2z^3
= x^2(x + z) - 2z^2(x + z)
= (x^2 - 2z^2)(x + z)
= (x + z)(x + z)(x - 2z)
д) 2ac + 6bc - 4ad - 12bd
= 2ac - 4ad + 6bc - 12bd
= 2a(c - 2d) + 6b(c - 2d)
= (2a + 6b)(c - 2d)
е) 12a^2 - 6bc + 9ac - 8ab
= 12a^2 - 8ab + 9ac - 6bc
= 4a(3a - 2b) + 3c(3a - 2b)
= (4a + 3c)(3a - 2b)
ж) -12a^2p + 15p^3 + 8a^2 - 10a^2p^2
= -12a^2p + 8a^2 - 10a^2p^2 + 15p^3
= -4a^2(3p - 2)(5p^2 + 3)