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Find the Square of the Following Numbers Using the Identity (A + B)2 = A2 + 2ab + B2: 209 - Mathematics

Find the square of the following numbers using the identity (a + b)2 = a2 + 2ab + b2

 209 

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Solution

On decomposing:
209 = 200 + 9
Here, a = 200 and b = 9
Using the identity (a + b)2 = a2 + 2ab + b2:
2092 = (200 + 9)2 = 2002 + 2(200)(9) + 92 = 40000 + 3600 + 81 = 43681

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APPEARS IN

RD Sharma Class 8 Maths
Chapter 3 Squares and Square Roots
Exercise 3.3 | Q 5.4 | Page 32
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