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3 years ago

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

Mathematics

1 answer:

ololo11 [35]3 years ago

7 0

Answer:

(n- 2/3)²

Step-by-step explanation:

<em>Perfect square trinomial is: </em><em>a²+2ab+b²= (a+b)²</em>

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

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