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:

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:

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):

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):

We subtract polynomials just like we would anything else, but we must pay attention to the sign after using the distributive property on the sign that separates the two polynomials in subtraction problems. Then, of course, only like terms can combine or subtract from each other.

Start by distributing the negative sign into the second polynomial:

Now combine or subtract like terms based on the sign between them (same colored terms cancel each other out):

Left over: