Question

Factor x^3+25 completely

Answer 1

Answer:

Please check the explanation.    

Step-by-step 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:

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