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 p^3-27

 Aug 1, 2014

Best Answer 

 #2
avatar+130466 
+10

Sasini did the binomial expansion of (p - 3)^3

I think what you might have asked for is to either factor, or find the roots of, p^3 - 27...I'll do both....

Factoring is just the difference of two cubes...so we have

(p - 3) * (p^2 + 3p + 9)

We can set these factors equal to 0 to find the roots......setting (p - 3) = 0  gives us that p = 3.

The second factor - (p^2 + 3p + 9) - set to 0, has no real solutions (roots).

I think that's it......

 

 Aug 1, 2014
 #1
avatar+752 
+10

p^3-(3^3)

=p^3-(3*P^2*3)+(3*p*3^2)-3^3

=p^3-9p^2+27p-27

I think u can uderstand about it.

 Aug 1, 2014
 #2
avatar+130466 
+10
Best Answer

Sasini did the binomial expansion of (p - 3)^3

I think what you might have asked for is to either factor, or find the roots of, p^3 - 27...I'll do both....

Factoring is just the difference of two cubes...so we have

(p - 3) * (p^2 + 3p + 9)

We can set these factors equal to 0 to find the roots......setting (p - 3) = 0  gives us that p = 3.

The second factor - (p^2 + 3p + 9) - set to 0, has no real solutions (roots).

I think that's it......

 

CPhill Aug 1, 2014

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