2.разложите на множители: а) 100-9x2; д) -6m2+12mn-6n2; и) 9a2-6ab+b2-16. б) 16m8-25n4; е) b3 – 8c3; в) 4a2+20ab+25b2; ж) 9-(2-5b)2; г) 49x2y-y3; з)a+b+a2-b2;

1) 100 - 9x^2 = (10 - 3x)(10 + 3x)
2) 16m^8 - 25n^4 = (4m^4 - 5n^2)(4m^4 + 5n^2)
3) 4a^2 + 20ab + 25b^2 = (2a + 5b)^2
4) 49x^2y - y^3 = y(49x^2 - y^2) = y(7x + y)(7x - y)
5) -6m^2 + 12mn - 6n^2 = -6(m^2 - 2mn + n^2) =
-6(m - n)^2
6) b^3 - 8c^3 = (b - 2c)(b^2 + 2bc + 4c^2)
7) 9 -(2-5b)2 = 9 - 4 + 10b = 10b + 5
8) a + b + a^2 - b^2 = a + b + (a + b)(a - b) =
(a + b)(a - b + 1)
9) 9a^2 - 6ab + b^2 - 16 = (3a - b)^2 - 16 =
(3a - b - 4)(3a + b+ 4)