Question

Factor x^3+25 completely

Answer 1

Please check the explanation.

Explanation:

Given the expression

`\:x^3+25\:`

Please note that the given expression could not factor further.

But, wait!

Let me take a sample expression and factor that sample expression so that you could get an idea of how to factorize the expression

Given the sample expression

`x^2-5x+6`

Breaking the expression into groups

`\:x^2-5x+6=\left(x^2-2x\right)+\left(-3x+6\right)`

Factor out x from x²-2x: x(x-2)

Factor out -3 from -3x+6: -3(x-2)

`=x\left(x-2\right)-3\left(x-2\right)`

Factor out the common term (x-2)

`=\left(x-2\right)\left(x-3\right)`

Thus, factorizing the expression such as:

`x^2-5x+6=\left(x-2\right)\left(x-3\right)`