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Example: Factorize, 8x3+36x2+54x+27. Solution: Given that, 8x3+36x2+54x+27. We can write this as, (2x)3+3.(2x)2.3+3.2x(3)2+(3)3. This is the form of a3+3.a2.b+3.a.b2+b3 = (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. |