factor the following polynomial 125+8r³with solution​

Answers 1

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]

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