Answer:
(x +4)^2 -13
Step-by-step explanation:
A binomial cannot be a perfect square, so we interpret the problem to mean "find an equivalent expression than includes the square of a binomial."
The equivalent expression we're usually interested in is the one known as "vertex form." We can add and subtract the square of half the x-coefficient to help find that form:
(x^2 +8x +16) +(3 -16) . . . . . . . we added (8/2)^2 -(8/2)^2
(x +4)^2 -13 . . . . . . . . . . . . . . . express the trinomial as a square, simplify
