Example:
Factorize, 2x^{3}+54.
Solution:
Given that, 2x^{3}+54.
Take 2 as common, we get,
2[x^{3}+27]
We can write it as,
= 2[x^{3}+3^{3}]
This is in the form of a^{3}+b^{3 }= (a+b)(a^{2}ab+b^{2}).
Here a = x and b = 3, substitute these values in the formula, we get,
= 2(x+3)(x^{2}3x+9)
Directions: Solve the following problems. Also write at least ten examples of your own.
