Question

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

Answer 1

16

Explanation:

`{w}^(2) - 8w + { {4}^(2) } \\ = {w}^(2) - 8w + \boxed{ 16} \\= (w-4)^2`

Answer 2

Explanation:

a² + 2ab +b² = (a+ b)²

w² - 8w + _?___

a = w

2ab = -8w

2*w*b = -8w

b = -8w/2w

b = 4

8w = 2 * 4*w

w² - 8w + 4² =w² -8w + 16