
Example: Factorize, 8x^{3}+36x^{2}+54x+27. Solution: Given that, 8x^{3}+36x^{2}+54x+27. We can write this as, (2x)^{3}+3.(2x)^{2}.3+3.2x(3)^{2}+(3)^{3}. This is the form of a^{3}+3.a^{2}.b+3.a.b^{2}+b^{3} = (a+b)^{3}. Here a = 2x and b = 3, substitute these values in the equation we get, = (2x+3)^{3}. Directions: Solve the following problems. Also write at least ten examples of your own. 