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# Evaluate the Following Using Identities: (2x + Y) (2x − Y) - Mathematics

Evaluate the following using identities:

(2x + y) (2x − y)

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#### Solution

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

We have been given (2x + y) (2x − y)

We shall use the identity  (a + b)(a - b)= a^2 -b^2

Here a = 2x, b = y

By applying identity we get

(2x + y)(2x - y) = (2x)^2 - (y)^2

= (2x xx 2x) - (y xx y)

= 4x^2 - y^2

Hence the value of (2x + y)(2x - y) is 4x^2 - y^2

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#### APPEARS IN

RD Sharma Mathematics for Class 9
Chapter 4 Algebraic Identities
Exercise 4.1 | Q 1.2 | Page 6
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