Question

Complete the square to make a perfect square trinomial. Write the result as a binomial square.

$b^2-4b$

Short answer

The result is$(b-2{)}^2$.

Step-by-step solution

Given Information.   

The Given expression is$b^2-4b$.

Identify  b,the coefficient of term having power one.   

$b^2-4b$

The coefficient of $b$is $-4$.

So,$b=-4$.

Find 12b2.

Substitute $b=-4$.

$={\left(\frac{1}{2}(-4)\right)}^2$

$$\begin{gathered} ={\left(-2\right)}^2 \\ =4 \end{gathered}$$

Add 4 to binomial expression to complete the square. 

$b^2-4b+4$

Rewrite as a binomial square.

$(b-2{)}^2$