Perfect+Square+Trinomials

=Perfect Square Trinomials= A **Perfect Square Trinomial** is a binomial multiplied by itself or **Squared**. (X+Y)(X+Y) or (X+Y)^2.
 * The first and last term in the FOILed trinomial will always be positive since a and c will always be positive. aX^2+bX+c.
 * (X+5)^2=X^2+10X+25
 * The b will always equal the constant being squared (so 5 in this example) times two with an X.
 * So from the example above (X+5)^2. The b is 5x2=(10). With an X. 10X.
 * So by following all these rules you will end up with X^2+10X+25 by FOILing the perfect square.

How to Factor a Perfect Square Trinomial

 * a^2+2ab+b^2=(a+b)^2 or a^2-2ab+b^2=(a-b)^2
 * To factor when the first term is more than one find the square root of each term.
 * 9X^2+24X+16
 * So the square root of 9X^2 is 3X.
 * Square root of 16 is 4.
 * If the middle term is positive, then add the terms (3X+4)^2.
 * If the middle term is negative (9X^2-24X+16), then subtract the terms (3X-4)^

This is a video on how to do a perfect square trinomial.media type="youtube" key="apWn9pMygCc" height="315" width="420"