Question

(x – y)2 = x2 – 2xy + y2

this identity example only one

Answer 1

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(x - y)² = x² - 2xy + y²

This identity can be used to find square of many numbers very easily

For example, if we want to find square of 99

Using this identity,

99² = (100 - 1)²

(100 - 1)² = 100² - 2*100*1 + 1

               = 10000 - 200 + 1 = 9801

Answer 2

The examples of (x – y)² = x² – 2xy + y² are given below:

• Subtracting two small numbers and finding their squares is easy and can be done directly.
• Eg. (5-2)² = 3² = 9.
• But when it comes to larger numbers, direct computation of such problems becomes difficult.

• We use the identity (x – y)² = x² – 2xy + y² for simplification of the computation of such problems.
• Eg. 1) (20 - 4)² = 20² - 2(20)(4) + 4² = 400-160+16 = 256.
• Eg. 2)  (300-11)² = 300² - 2(300)(10) + 11² = 90000 - 6000 + 121 = 84121.

• This identity can also be used for the computation of squares of larger numbers.
• Eg. 99² = (100-1)² = 100²-2(100)(1)+1² = 10000-200+1 = 9801.

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