Answer:
Please check the explanation.
Step-by-step explanation:
Given the expression
[tex]\:x^3+25\:[/tex]
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
[tex]x^2-5x+6[/tex]
Breaking the expression into groups
[tex]\:x^2-5x+6=\left(x^2-2x\right)+\left(-3x+6\right)[/tex]
Factor out x from x²-2x: x(x-2)
Factor out -3 from -3x+6: -3(x-2)
[tex]=x\left(x-2\right)-3\left(x-2\right)[/tex]
Factor out the common term (x-2)
[tex]=\left(x-2\right)\left(x-3\right)[/tex]
Thus, factorizing the expression such as:
[tex]x^2-5x+6=\left(x-2\right)\left(x-3\right)[/tex]
