
Example: Factorize, x^{3}+8x^{2}+16x. Solution: Given that, x^{3}+8x^{2}+16x. We take x as common, x(x^{2}+8x+4^{2}) This is in the form of (a+b)^{2 }= a^{2}+2ab+b^{2}. Here a = x and b = 4, substitute these values in the formula, we get, x(x+4)^{2}. Directions: Solve the following problems. Also write at least 10 examples of your own. 