SOLUTION: Hi I would really like help to solve this question. Rewrite the following in a shortened form: (x-3)x(x+3)=? Please show me how to do this and explain it. Thanks.

Algebra ->  Equations -> SOLUTION: Hi I would really like help to solve this question. Rewrite the following in a shortened form: (x-3)x(x+3)=? Please show me how to do this and explain it. Thanks.      Log On


   

Question 324297: Hi I would really like help to solve this question.
Rewrite the following in a shortened form:
(x-3)x(x+3)=?
Please show me how to do this and explain it.
Thanks.
Found 2 solutions by mananth, jim_thompson5910:
Answer by mananth(16946) About Me  (Show Source):
You can put this solution on YOUR website!
(x-3)x(x+3)
this means x*(x-3)*(x+3)
First solve the brackets
multiply each term in bracket 1 to each term in bracket 2
x{x*(x+3)-3(x+3)}
x{x^2+3x-3x-9} +3x & -3x cancel off
x{x^2-9)
x^3-9x
..
Your feedback is valuable for improving the solution

Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!

%28x-3%29%28x%2B3%29 Start with the given expression.


Now let's FOIL the expression.


Remember, when you FOIL an expression, you follow this procedure:


%28highlight%28x%29-3%29%28highlight%28x%29%2B3%29 Multiply the First terms:%28x%29%2A%28x%29=x%5E2.


%28highlight%28x%29-3%29%28x%2Bhighlight%283%29%29 Multiply the Outer terms:%28x%29%2A%283%29=3%2Ax.


%28x%2Bhighlight%28-3%29%29%28highlight%28x%29%2B3%29 Multiply the Inner terms:%28-3%29%2A%28x%29=-3%2Ax.


%28x%2Bhighlight%28-3%29%29%28x%2Bhighlight%283%29%29 Multiply the Last terms:%28-3%29%2A%283%29=-9.


---------------------------------------------------
So we have the terms: x%5E2, 3%2Ax, -3%2Ax, -9


x%5E2%2B3%2Ax-3%2Ax-9 Now add every term listed above to make a single expression.


x%5E2-9 Now combine like terms.


So %28x-3%29%28x%2B3%29 FOILs to x%5E2-9.


In other words, %28x-3%29%28x%2B3%29=x%5E2-9.