Question

Complete the square to make a perfect square trinomial. Then, write the result as a binomial squared. n^2-4n/3

Answer 1

(n- 2/3)²

Explanation:

• Perfect square trinomial is: a²+2ab+b²= (a+b)²

We have:

• n² - 4n/3

It can be put as:

• n² -2×n×2/3

Here we consider n = a and -2/3 = b, then

• b²= (-2/3)²= 4/9

Now we add 4/9 to a given binomial to make it perfect square:

• n² - 2×n×3/2 + 4/9= (n- 2/3)²

So, added 4/9 and got a perfect square (n- 2/3)²