vodkasoup said:Homework Statement
Simplify the following expression: x3(1-x2) / x(x-1)
Homework Equations
The Attempt at a Solution
I know that the top can be factored to x3(1-x)(1+x) to give x3(1-x)(1+x) / x(x-1) . However, after this step I seem to just go round in circles. I got an answer of 2 on one occasion but I do not believe this is correct. Help would be appreciated.
To simplify an algebraic fraction with factors, you need to first factor both the numerator and denominator. Then, look for common factors between the two and cancel them out. Finally, write the remaining factors in the simplified form.
Simplifying an algebraic fraction involves reducing it to its simplest form, while solving an algebraic fraction involves finding the value of the variable that makes the fraction equal to a given value.
Yes, you can simplify an algebraic fraction with variables by following the same steps as you would with numerical factors. However, make sure to check for restrictions on the variables before simplifying.
No, there is no specific order in which the factors should be simplified. You can start with either the numerator or denominator, as long as you factor both and cancel out common factors.
Yes, you can use the distributive property to simplify an algebraic fraction. It is particularly useful when there are no common factors between the numerator and denominator, as it allows you to expand and cancel out common terms.