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Using the Formula for Squaring a Binomial, Evaluate the Following: (99)2 - Mathematics

Answer in Brief

Using the formula for squaring a binomial, evaluate the following: (99)2

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Solution

Here, we will use the identity \[\left( a - b \right)^2 = a^2 - 2ab + b^2\]

\[\left( 99 \right)^2 \]

\[ = \left( 100 - 1 \right)^2 \]

\[ = \left( 100 \right)^2 - 2 \times 100 \times 1 + 1^2 \]

\[ = 10000 - 200 + 1\]

\[ = 9801\]

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APPEARS IN

RD Sharma Class 8 Maths
Chapter 6 Algebraic Expressions and Identities
Exercise 6.6 | Q 3.2 | Page 43
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