1) -x^2 - 10x - 2 = -(x^2 + 10x + 2) = -(x + 1)(x + 2)
2) a^4b^2 - b^4a^2 = a^2b^2(a^2 - b^2) = a^2b^2(a + b)(a - b)
3) x^7 + 9x - x^2 - 9x = x^7 - x^2 = x^2(x^5 - 1) = x^2(x - 1)(x^4 + x^3 + x^2 + x + 1)
4) (a + b)^2 + 2a + 2b = a^2 + 2ab + b^2 + 2a + 2b = (a + b)(a + b) + 2(a + b) = (a + b)(a + b + 2)
1) -x^2 - 10x - 2 = -(x^2 + 10x + 2) = -(x + 1)(x + 2)
2) a^4b^2 - b^4a^2 = a^2b^2(a^2 - b^2) = a^2b^2(a + b)(a - b)
3) x^7 + 9x - x^2 - 9x = x^7 - x^2 = x^2(x^5 - 1) = x^2(x - 1)(x^4 + x^3 + x^2 + x + 1)
4) (a + b)^2 + 2a + 2b = a^2 + 2ab + b^2 + 2a + 2b = (a + b)(a + b) + 2(a + b) = (a + b)(a + b + 2)