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sabika13
 3 years ago
How do I factor this: x^3 9x^2 +27x 27
sabika13
 3 years ago
How do I factor this: x^3 9x^2 +27x 27

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Mr.Math
 3 years ago
Best ResponseYou've already chosen the best response.2Write \[x^3 9x^2 +27x 27=(x^327)+(9x^2+27x)=(x^33^3)9x(x3)=\dots\] Does this help?

sabika13
 3 years ago
Best ResponseYou've already chosen the best response.0let me try: (x^3  3^3)  9x (x3) 1^3 (x3) 9x (x3) (x3) (9x) lol am i right :S?

Mr.Math
 3 years ago
Best ResponseYou've already chosen the best response.2Not quite. You first need to know the formula for the difference of two cubes: \[(a^3b^3)=(ab)(a^2+ab+b^2).\] http://www.mathsisfun.com/algebra/polynomialsdifferencetwocubes.html

Mr.Math
 3 years ago
Best ResponseYou've already chosen the best response.2Now we will apply this to the problem in our hand. You wanna try?

sabika13
 3 years ago
Best ResponseYou've already chosen the best response.0im so confused.. i havent learned this formula.. All i really needed from this equation was the zeros.. is there a easier way to find zeros than factoring?

Mr.Math
 3 years ago
Best ResponseYou've already chosen the best response.2Don't be. It's an easytolearn formula. You can find help in understanding it in the link I gave above. Now back to our problem (and by applying that formula), we can write: \[(x^3  3^3)  9x (x3)=(x3)(x^2+3x+9)9x(x3)\] \[=(x3)(x^2+3x+99x)=(x3)(x^26x+9)\] \[=(x3)(x3)^2=(x3)^3.\]

sabika13
 3 years ago
Best ResponseYou've already chosen the best response.0how did you get from: =(x−3)(x^2+3x+9−9x) to =(x−3)(x−3)^2

sabika13
 3 years ago
Best ResponseYou've already chosen the best response.0oh no not that one sorry.

sabika13
 3 years ago
Best ResponseYou've already chosen the best response.0(x^3−3^3)−9x(x−3) to (x3) (x^2+3x+99x)
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