Answer:
Step-by-step explanation:
Please write x^2+16x or x²+16x to indicate the exponentiation.
To rewrite x²+16x as a perfect square trinomial:
1) Take half of the coefficient of x, that is, half of 16, which is 8
2) Square this result: 8² or 64
3) Starting with x²+16x again, add 64 and then subtract 64 to get a trinomial expression equivalent to x²+16x:
x²+16x + 64 - 64
4) Rewrite the first three terms as the square of the binomial x + 8:
(x + 8)² - 64
Here (x + 8)² is a perfect square trinomial.
