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)^24) 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)^26) b^3 - 8c^3 = (b - 2c)(b^2 + 2bc + 4c^2)7) 9 -(2-5b)2 = 9 - 4 + 10b = 10b + 58) 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)