[tex]ax+ay = a(x+y)\\x^2-y^2=(x-y)(x+y)\\a^2 + 2ab + b^2 = (a+b)^2\\x^2 + 7x + 10 = x^2 + 2x + 5x + 10 = x(x+2) + 5(x+2) = (x+2)(x+5)\\a^3b^2 + a^2b + a^2b^2 = a^2b(ab) + a^2b(1) + a^2b(b) = a^2b(ab + 1 + b)\\(a+b)^2 - 3(a+b)^2 + 5(a+b) = (a+b)(a+b - 3(a+b) + 5) = (a+b)(a+b - 3a -3b + 5) = (a+b)(5-2a-2b)[/tex]
