<h2>
Answer with explanation:</h2>
The number of letters in word "ALGORITHM" = 9
The number of combinations to select r things from n things is given by :-

Now, the number of combinations to select 6 letters from 9 letters will be :-

Thus , the number of ways can six of the letters of the word ALGORITHM=84
The number of ways to arrange n things in a row :
So, the number of ways can the letters of the word ALGORITHM be arranged in a be seated together in the row :-

If GOR comes together, then we consider it as one letter, then the total number of letters will be = 1+6=7
Number of ways to arrange 9 letters if "GOR" comes together :-

Thus, the number of ways to arrange 9 letters if "GOR" comes together=5040
Answer:

Step-by-step explanation:

Let's apply the formula (x+y)² = x² + 2xy + y²
Here, x = -a and y = b
So,
= (-a)² + 2(-a)(b) + (b)²
= a² - 2ab + b²
Hence, it has been proved that (-a + b)² = a² - 2ab + b².
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Hope this helped!
<h3>~AH1807</h3>
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