Simplifying Polynomials - Math

Use the FOIL method (First, Outer, Inner, Last):

Put all of these terms together:

Combine like terms:

Put the negative exponent on the bottom so that you have which simplifies further to .

First, multiply out the second expression so that you get .

Then, multiply your like terms, taking care to remember that when multiplying terms that have the same base, you add the exponents. Thus, you get .

Focus on each pair of like terms. The completely cancel out, there is one left on top, and five left on the bottom.

reduces to .

Put that all together to get .

To simplify the polynomial, begin by multiplying the first binomial by every term within the parentheses:

Now, combine like terms:

Convert the polynomial into fraction form:

To simplify the polynomial, begin by rearranging the terms to have positive exponents:

Now, combine like terms:

Simplify the integers:

Squaring the polynomial is equivalent to:

Use the FOIL method to multiply the terms:

F - First

O - Outer

I - Inner

L - Last

Combine like terms:

To simplify the polynomial, begin by rearranging the terms to have positive exponents:

Rearrange the terms once again so that the outer exponent is positive. Also, combine like terms:

Now, square the polynomial:

To simplify the polynomial, begin by combining the terms within the parentheses and multiplying the integers:

Now, add together like terms:

To simplify the polynomial, begin by rearranging the terms to have positive exponents:

Now, combine like terms:

Simplify the integers:

Begin by reversing the numerator and denominator so that the exponents are positive:

Square the right side of the expression and multiply:

Simplify:

Begin by simplifying the integers:

Subtract the exponent in the denominator from the exponent in the numerator:

Begin by multiplying the terms:

Convert into fraction form:

Use the FOIL method to multiply the terms: F (first) O (outer) I (inner) L (last)

Use the FOIL method to multiply the terms: F (first) O (outer) I (inner) L (last)

Combine like terms:

is a composite function solved by substituting into :

To simplify you combind like terms:

Answer:

First, factor the numerator of the quotient term by recognizing the difference of squares:

Cancel out the common term from the numerator and denominator:

FOIL (First Outer Inner Last) the first two terms of the equation:

Combine like terms:

First distribute the :

Then distribute the :

Finally combine like terms:

To simplify, first use the distributive property: . Then, combine like terms to get your answer: .