If you have:
a*a*a
you can represent it as:
a^3
Is there a similar notation to collapse
a*b*c
to some form:
?^3
where ? represents "a", "b", and "c" (different quantities) multiplied together?
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1
One thing we could do is index our variables using subscripts: $$ (x_1)(x_2)\cdots(x_{999})(x_{1000}) = \prod_{n=1}^{1000} x_n $$
Adriano
- 41,576
0
No. You have $2\cdot 3\cdot 4=24$ what is not a cube (in integers or rationals). You can say it is a cube if we are allowed to work in real numbers. So, let us have a look at other example. Consider the polynomial $x\cdot (x+1) \cdot (x+2)=x^3+3x^2+2x.$ It is not the cube of any polynomial.
mfl
- 29,399