How to subtract polynomials - Algebra

To solve this problem, first distribute anything through parentheses that needs to be distributed, then combine all terms with like variables (i.e. same variable, same exponent):

To solve this problem, first distribute anything through parentheses that needs to be distributed, then combine all terms with like variables (i.e. same variable, same exponent):

Simplify the following expression:

To simplify the expression, we first need to distribute the negative sign.

Next, remove the other parentheses, and rearrange the terms to get similar exponents next to eachother:

Finally, combine each set of like terms and you will have your answer:

To solve this problem, first distribute anything through parentheses that needs to be distributed, then combine all terms with like variables (i.e. same variable, same exponent):

To solve this problem, first distribute anything through parentheses that needs to be distributed, then combine all terms with like variables (i.e. same variable, same exponent):

To solve this problem, first distribute anything through parentheses that needs to be distributed, then combine all terms with like variables (i.e. same variable, same exponent):

To solve this problem, first distribute anything through parentheses that needs to be distributed, then combine all terms with like variables (i.e. same variable, same exponent):

Subtracting polynomials is very simple. Once we've changed the sign for the polynomial right of the subtraction sign, the problem becomes a matter of collecting like terms.

we've changed the sign of every term of the polynomial right of the subtraction sign because we've distributed the subtraction sign to get rid of the parentheses.

Now we can collect like terms to solve for the final answer.

Subtracting polynomials is very simple. Once we've changed the sign for the polynomial right of the subtraction sign, the problem becomes a matter of collecting like terms.

we've changed the sign of every term of the polynomial right of the subtraction sign because we've distributed the subtraction sign to get rid of the parentheses.

Now we can collect like terms to solve for the final answer.

To solve this problem, first distribute anything through parentheses that needs to be distributed, then combine all terms with like variables (i.e. same variable, same exponent):

To solve this problem, first distribute anything through parentheses that needs to be distributed, then combine all terms with like variables (i.e. same variable, same exponent):

To solve this problem, first distribute anything through parentheses that needs to be distributed, then combine all terms with like variables (i.e. same variable, same exponent):

To solve this problem, first distribute anything through parentheses that needs to be distributed, then combine all terms with like variables (i.e. same variable, same exponent):

Write the problem as an expression. Remember to brace both polynomials with parentheses since we are subtracting by the quantity.

Remove the parentheses. Simplify by distributing the negative sign through the second polynomial.

Combine like-terms.

The answer is:

Set up an expression and enclose both polynomials with parentheses.

Remove the parentheses and distribute the negative sign through each term in the second polynomial.

Combine like-terms.

The answer is:

First, FOIL the two binomials:

Then distribute the through the terms in parentheses:

Combine like terms:

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:

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.

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:

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: