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Example Question #110 : Polynomials
Subtract the polynomials below:
The first step is to get everything out of parentheses to combine like terms. Since the polynomials are being subtracted, the sign of everything in the second polynomial will be flipped. You can think of this as a being distributed across the polynomial:
Now combine like terms:
Example Question #1 : How To Subtract Polynomials
Simplify the expression:
Cannot be simplified further
Don't be scared by complex terms! First, check to see if the variables are alike. If they match perfectly, we can add and subtract their coefficients just like we could if the expression was .
Remember, a variable is always a variable, no matter how complex! In this problem, the terms match! So we just subtract the coefficients of the matching terms and we get our answer:
Example Question #2 : How To Subtract Polynomials
Rewrite the expression in simplest terms.
In simplifying this expression, be mindful of the order of operations (parenthical, division/multiplication, addition/subtraction).
Since operations invlovling parentheses occur first, distribute the factors into the parenthetical binomials. Note that the outside the first parenthetical binomial is treated as since the parenthetical has a negative (minus) sign in front of it. Similarly, multiply the members of the expression in the second parenthetical by because of the negative (minus) sign in front of it. Distributing these factors results in the following polynomial.
Now like terms can be added and subtracted. Arranging the members of the polynomial into groups of like terms can help with this. Be sure to retain any negative signs when rearranging the terms.
Adding and subtracting these terms results in the simplified expression below.
Example Question #4 : Solving Rational Expressions
First we convert each of the denominators into an LCD which gives us the following:
Now we add or subtract the numerators which gives us:
Simplifying the above equation gives us the answer which is:
Example Question #13 : Simplifying Expressions
Simplify the following:
None of the other answers are correct.
First, FOIL the two binomials:
Then distribute the through the terms in parentheses:
Combine like terms:
Example Question #3 : How To Subtract Polynomials
Simplify the following expression.
This is not a FOIL problem, as we are adding rather than multiplying the terms in parentheses.
Add like terms together:
has no like terms.
Combine these terms into one expression to find the answer:
Example Question #6 : How To Subtract Polynomials
Distribute the negative:
Then combinde like terms
Example Question #16 : Simplifying Polynomials
Example Question #4 : How To Subtract Polynomials
Example Question #5 : How To Subtract Polynomials