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Find the Squares of the Following Numbers Using the Identity (A + B)2 = A2 + 2ab + B2: 405 - Mathematics

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

 405

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Solution

On decomposing:
405 = 400 + 5
Here, a = 400 and b = 5
Using the identity (a + b)2 = a2 + 2ab + b2:
4052 = (400 + 5)2 = 4002 + 2(400)(5) + 52 = 160000 + 4000 + 25 = 164025 

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APPEARS IN

RD Sharma Class 8 Maths
Chapter 3 Squares and Square Roots
Exercise 3.3 | Q 5.1 | Page 32
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