Will give brainlist
fill in the blank with a number to make the expression a perfect square.
w² - 6w +

9 should be added to the expression to make it a perfect square

Step-by-step explanation:

Given expression:

To fill in the missing term such that the expression becomes a perfect square.

Solution:

In order to make the expression a perfect square we will use completing the square method.

We have :

By complete the square method we will add the square of the quotient of the co-efficient of the middle term which is and 2.  

The co-efficient of middle term = -6

Thus the number to be added will be =

Thus, on adding 9 the expression will become:

which is a perfect square of the binomial

This can be shown as:

Thus, we add 9 to the expression to make it a perfect square.

9

Step-by-step explanation:

Given:

Finding the number to make expression a perfect square.

From the expression we can see that coefficient of variable is 1 and -6.

Now, lets take a= 1 and b= -6 and finding c .

∴ c=

Subtituting the value of a and b.

⇒ c= (∵ )

∴ c= 9

Next putting the value in the expression.

=

=

Hence, 9 is a number to make the expression a perfect square.

43

step-by-step explanation: