Question

pick a two digit number greater than 49 but less than 65 rewrite your two digit number is a difference of two numbers, show how to use the identity (x - y)² = x² - 2xy + y² to square your number.​

Answer 1

Let's choose 57 as the two-digit number. We can rewrite 57 as the difference of two numbers: 57 = 60 - 3.

Now, using the identity (x - y)² = x² - 2xy + y², we can square the number 57:

(60 - 3)² = 60² - 2 * 60 * 3 + 3² = 3600 - 360 + 9 = 3250 + 9 = 3259.

Therefore, 57² = 3259