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

Evaluate following using identities:

(a - 0.1) (a + 0.1)

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

Is there an error in this question or solution?

APPEARS IN

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