oNothinGo said:Here is what I got:
[(84x4y-52)/13] / (-xy + (21/13)x5y)
= [(84x4y-52)/13] / [(-13xy + 21x5y)/13]
= (84x4y-52) / (-13xy + 21x5y)
if you factor out x in the denominator, you will get x(21x4y-13y), not x(21x4y-13).Anakin_k said:But the numerator and denominator can be factored a bit more. Factor out the 4 in the numerator and the x in the denominator. You should get:
4(21x4y-13) / x(21x4y-13)
The (21x4y-13) from the top and the bottom divide out and you are left with 4/x. The restrictions would be (21x4y-13) is not equal to zero and x is not equal to zero.
Mark44 got it perfectly right.
In my earlier response, I simplified the final expression you showed, but didn't verify that it was the same as the original expression (it isn't). There is an extra right parenthesis in denominator of the first expression, so it's difficult to tell exactly what the original problem is. With that extra parenthesis, it's unclear whether that final y in the denominator multiplies only the x5 term or both terms in the denominator.jumbogala said:Homework Statement
I need to simplify this:
((84/13)x4y - 4) / (-x + (21/13)x5)y)
Homework Equations
The Attempt at a Solution
I don't know if it can be simplified further. I can't factor anything out that will cancel. I multiplied both the top and the bottom by 13 to get rid of those fractions and got
(84x4y - 52) / (-13x + 21x5y) but that didn't make a solution jump out at me.
Help?
A polynomial is a mathematical expression consisting of variables and coefficients, combined using only addition, subtraction, and multiplication. It can have one or more terms, and the degree of a polynomial is determined by the highest exponent of the variable.
To simplify a polynomial, you must combine like terms by adding or subtracting coefficients. You can also use the distributive property to factor out a common term. The goal is to have the fewest number of terms possible and to have all the terms in standard form, with the variable in descending order of exponents.
Like terms are terms that have the same variables raised to the same exponents. For example, 3x and 5x are like terms, but 3x and 5x^2 are not. Like terms can be combined by adding or subtracting their coefficients.
Yes, you can simplify a polynomial with variables raised to negative exponents. The negative exponent can be rewritten as the reciprocal of the variable raised to the positive exponent. For example, x^-2 can be rewritten as 1/x^2. Then, you can combine like terms and follow the same steps as simplifying a polynomial with positive exponents.
Simplifying a polynomial involves combining like terms and reducing the expression to its simplest form. Factoring a polynomial involves breaking it down into smaller, simpler expressions by finding common factors. Both processes can help to solve equations and make polynomial expressions easier to work with, but they have different methods and goals.