Distribute
yes
So that unlike fractions can be converted to like fractions, eg: 1/2 and 1/3 are equvalent to 3/6 and 2/6, 6 being the LCD of 2 and 3. You can now add them (giving 5/6) or subtract the lesser (giving 1/6)
If that's 34/5478, I can say the prime factorization of the denominator is 2 x 3 x 11 x 83
If the rational expressions have large exponent, then you need to factor out this way: (a + b)ⁿ = (a + b)(a + b)...(a + b) [So there are n "(a + b)" factors.] Here are the examples... (a + b)³ = (a + b)(a + b)(a + b) (a + b)4 = (a + b)(a + b)(a + b)(a + b)
In both cases, you may be able to cancel common factors, thus simplifying the expression.
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see the signs if is negative or possitive
How is doing operations (adding, subtracting, multiplying, and dividing) with rational expressions similar to or different from doing operations with fractions?If you know how to do arithmetic with rational numbers you will understand the arithmetic with rational functions! Doing operations (adding, subtracting, multiplying, and dividing) is very similar. When you areadding or subtracting they both require a common denominator. When multiplying or dividing it works the same for instance reducing by factoring. Operations on rational expressions is similar to doing operations on fractions. You have to come up with a common denominator in order to add or subtract. To multiply the numerators and denominators separated. In division you flip the second fraction and multiply. The difference is that rational expressions can have variable letters and powers in them.
When subtracting you have to make sure that the second numerator is multiplied by -1 so the equation turns into adding. When you add and you already have a common denominator you add the numerators and leave the denominator the same.
Replacing the variable in the denominator by a root of the denominator.
Both the numerator and denominator are polynomials
In order to subtract two rational expressions by simply subtracting their numerators you must make sure that their denominators are equal.
No
Rational expressions are fractions and are therefore undefined if the denominator is zero; the domain of a rational function is all real numbers except those that make the denominator of the related rational expression equal to 0. If a denominator contains variables, set it equal to zero and solve.
addition and subtraction, you dummy
You add the numerators and put over the denominator.
You subtract the numerators, and place it over the common denominator.