We have been given an expression [tex]x^2-12x[/tex]. We are asked to determine the missing term in the expression that will make the expression a perfect square.
To complete a square, we need to add the square of half of the coefficient of x.
We can see that coefficient of x is [tex]-12[/tex]. To complete the square we need to find half of the square of [tex]-12[/tex].
[tex](\frac{-12}{2})^2=(-6)^2=36[/tex]
Upon adding 36 to our expression, we will get:
[tex]x^2-12x+36[/tex]
We can see that our expression is now perfect square as we can rewrite is as:
[tex](x-6)^2[/tex]
Therefore, the missing constant term in the given perfect square would be 36.
Answer:
36
Step-by-step explanation:
If you are doing khan academy, then this is the correct answer! :)
