This can be achieved by using the pattern of difference of squares:

Applying the binomial square pattern:

First, simplify all of the exponents. When the exponent is outside of the parantheses, multiply it by the exponents inside so that you get: . Multiply so that you get 27. Then, multiply like terms. First, multilpy 2 by 27 so that you get 54. Then, multiply the x terms. Remember, when bases are the same, add the exponents: . Then, multiply the y terms: . Then, multiply all of the terms together so that you get .

To multiply variables with exponents, add the exponents. With multiple variables, simply add the exponents for each different variable.

Simplified:

The greatest common factor of the terms in is , so factor that out:

Since all factors here are linear, this is the complete factorization.

To multiply variables with exponents, add the exponents. When there are constants mixed in, multiply the constants separately and put back in the final result:

To obtain the constant term of a perfect square trinomial, divide the linear coefficient, which here is 20, by 2, and square the quotient. The result is

Simplify the following expression:

To combine these, we need to multiply our coefficients and our variables.

First, multiply the coefficients

Next, multiply our variables by adding the exponent:

So, we put it all together to get:

To multiply like variable with exponents, we will use the following formula:

Also, we will multiply coefficients like normal.

So, we get

To multiply like variables with exponents, we will use the following formula:

So, we get