factor the following polynomial 125+8r³
with solution​


Sagot :

Answer:

[tex](5 +2r) (25-10+4r^{2} )[/tex]

Step-by-step explanation:

[tex]125+8r^{3}[/tex] =
Write the number in the exponential form of 3
[tex]5^{3} + 8r^{3}[/tex] =

[tex]5^{3} +2^{3} r^{3}[/tex] =
[tex]5^{3} +(2^{3})[/tex] =
[tex](5 +2r) (5^{2} - 5x2r +(2r)^{2} )[/tex] =
[tex](5 +2r) (25} - 5x2r +(2r)^{2} )[/tex] =
[tex](5 +2r) (25 - 10r +(2r)^{2} )[/tex]=
[tex](5 +2r) (25 - 10r +4r^{2} )[/tex]