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Evaluate the Following: 109 × 107 - Mathematics

Answer in Brief

Evaluate the following: 109 × 107

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Solution

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

\[109 \times 107\]

\[ = \left( 100 + 9 \right)\left( 100 + 7 \right)\]

\[ = {100}^2 + \left( 9 + 7 \right)100 + 9 \times 7\]

\[ = 10000 + 1600 + 63\]

\[ = 11663\]

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APPEARS IN

RD Sharma Class 8 Maths
Chapter 6 Algebraic Expressions and Identities
Exercise 6.7 | Q 2.2 | Page 47
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