Question

Fill in the blank to make the expression a perfect square.

Answer 1

Answer:

The answer to your question is the number must be 64.

Step-by-step explanation:

Original expression

                                         w²  - 16 w +  _____

Process

1.- Divide 16 by 2

                               16/2 = 8

2.- Check that  2(w)(8) = 16w, the mid term.

                         16w = 16w

3.- The number we are looking for is 8²  or 64, the final expression is

                          w² - 16w + 64

                                                     

Answer 2

The missing value which would make the expression a perfect square is 64

Given the expression :

• w² + 16w + ?

To obtain the required value :

Divide the coefficient of w by 2

Coefficient = 16

Coefficient / 2 = 16/2 = 8

To obtain a perfect square :

Take the squared Value of the 8

Hence, 8² = 8 × 8 = 64

Therefore, the missing value in the expression is 64

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