6x - 123x²-18x+2x - 123x(x-6) + 2(x-6)(3X+2)(x-6)_____________________________________Factorization - SPLITTING the middle termWhat is factorization?Factorization is a method used to express any number as a product of it's factors.To factorize any given expression we can use DIFFERENT methods.IdentitiesGroupingSplitting the middle TERMIN this sum we have used the 3RD method- Splitting the middle term.As the name suggests we split the middle term into 2 parts, so that when added gives the middle term and  when multiplied gives the product as the last term.Example : x² + 7x + 12Factors of 12 = 1,2,3,4,6,12.Here, 4 + 3 gives me 17 and 4 × 3 = 12x² + 4x + 3x + 12x(x+4) + 3(x+4)[(x+4) is common](x+4)(x+3) is the answer. This is when the first term has a numerical coefficient as 1.In this sum, the first term has 3 as it's numerical coefficient.In cases such as these, we have to multiply the constant (last term) with the numerical coefficient of the first term.3 × (-12) = (-36)As we have seen we have to split the middle term here into 2 parts so that the sum equals to the middle term but the product equals to what we got when we multiplied the constant with the coefficient.3x² - 16x - 1216x = (-18x) + 2x(-18) × 2 = (-36x)3x² -18x + 2x - 123x(x-6) + 2(x-6)[(x-6) is common](x-6)(3x+2)_______________________________Some important points to note :(-) × (-) = (+)(+) × (-) = (-)(+) × (+) = (+)(-) × (+) = (-)-----------------------------------------------------------------