Given the following perfect square trinomial, fill in the missing term. x² - 16x + ____

Solution:

A perfect square trinomial is of the form

(a - b)² = a² - 2ab + b² --- (1)

Given, the equation is x² + 12x +__

Let us take the missing term as c,

Now, x² - 16x + c --- (2)

Comparing (1) and (2), we get,

a² = x²

a = x

-2ab = -16x

We know, a = x

So, 2xb = 16x

2b = 16

b = 16/2

b = 8

b² = c

c = (8)²

c = 64

Therefore, the missing term is 64.

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Given the following perfect square trinomial, fill in the missing term. x² - 16x + ____

Summary:

The missing term to be added to x² - 16x to form a perfect square trinomial is 64.