First factor out
In the parentheses, multiply the first coefficient 4
by the last coefficient 9, getting 36. Write down
all pairs of integer factors whose product is 36.
They are
1*36
2*18
3*12
4*9
6*6
Since the last sign in the parentheses is +, we
add those:
1+36 = 37
2+18 = 20
3+12 = 15
4+9 = 13
6+6 = 12
Since the middle coefficient of
is 12, and since 12 = 6+6 we write -12a^2 as -6a^2-6a^2
Factor the first two terms in the parentheses by factoring
out
Factor the last two terms in the parentheses by factoring
out
Inside the outer parentheses take out
the inner parentheses
Notice the parenthesis can be written once as squared:
Edwin