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Evaluate Following Using Identities: (A - 0.1) (A + 0.1) - Mathematics

Evaluate following using identities:

(a - 0.1) (a + 0.1)

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Solution

In the given problem, we have to evaluate expressions by using identities.

The given expression is (a + 0.1)(a - 0.1)

We shall use the identity `(x + y)(x - y) = x^2 - y^2`

Here x = a

y = 0.1

By applying identity we get 

`(a  + 0.1)(a - 0.1) = (a)^2 - (0.1)^2`

`= (a  xx a) - (0.1 xx 0.1)`

`= a^2 - 0.01`

Hence the value of (a + 0.1)(a - 0.1) is `a^2 - 0.01`

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APPEARS IN

RD Sharma Mathematics for Class 9
Chapter 4 Algebraic Identities
Exercise 4.1 | Q 1.4 | Page 6
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