To factor perfect square trinomials: 1. Get the square root of the first and last terms. 2. List down the square root as the sum or difference of two terms. 3. Factor the expression into the form (term 1 ± term 2)2.

2. Question…
How to factor perfect square trinomials?

3. To factor perfect square trinomials:
1. Get the square root of the first
and last terms.
2. List down the square root as
sum/difference of two terms as the
case may be.

4. Factor the following.
1.) n2 + 16n + 64 = ________
2.) 4r2 – 12r + 9 = ________
3.) 75t3 + 30t2 + 3t= ________
a.)Notice that 3t is common to all terms, thus, factoring it
out first we have: 3t(25t2 + 10t +1)
b.)Notice that 25t2 = (5t)2 and 1 = (1)2, and 10t= 2(5t)(1),
then 25t2 + 10t + 1 is a perfect square trinomial.
c.)Factoring 25t2 + 10t + 1 is (5t + 1)2, thus, the factors of
the given expression are 3t(5t + 1)2.

5. Supply the missing term to make a true
statement.
1.) m2 + 12m + 36 = (m + _____)2
2.) 16d2 – 24d + 9 = (4d - ____)2
3.) a4b2 – 6abc + 9c2 = (a2b ___ ____)2
4.) 9n2 + 30nd + 25d2 = (_____ ___ 5d)2
5.) 18h2 + 12h + 2 = 2(____ ___ ____)2
6.) 20f4 – 60f3 + 45f2 = ____(2f ___ ______)2

6. Fill in the blanks to make each expression a perfect square
trinomial.
1. x2 – 14x + ____ 6. 25x2 + 20x + ____
2. y2 + 10y + ____ 7. 36m2 - ____ + 49
3. ____ - 4a + 1 8. 225p2 + ____ + 4
4. b2 - ____ + 36 9. 81y2 + 90y + ____
5. ____ + 20m + 1 10. 64x2 - ____ + 121

7. Assignment…
Factor each completely.
1.) a2 + 6a + 9
2.) 1 + 8c + 16c2
3.) 64d2 – 16d + 1
4.) 49g2 + 56gh + 16h2
5.) 9m2 – 30mn + 25n2