The equation is .
For a trinomial to be factorable as a perfect square, the first and last terms must be perfect squares and the middle term must be two times the square roots of the first and last terms.
\ 1. Is the first term a perfect square? Yes, .
2. Is the last term a perfect square? Yes, .
3. Is the middle term to ? Yes,
.
Since all three conditions are satisfied, is a perfect square trinomial.
The polynomial, write as
.
Factor using the pattern.
\.
The factor form of equation is .
Apply square root property: For any number , if
.
Add 8 to each side.
\The value of .