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Multiply: (2x2y2 − 5xy2) by (X2 − Y2) - Mathematics

Answer in Brief

Multiply:
(2x2y2 − 5xy2) by (x2 − y2)

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Solution

To multiply, we will use distributive law as follows:

\[\left( 2 x^2 y^2 - 5x y^2 \right)\left( x^2 - y^2 \right)\]

\[ = 2 x^2 y^2 \left( x^2 - y^2 \right) - 5x y^2 \left( x^2 - y^2 \right)\]

\[ = 2 x^4 y^2 - 2 x^2 y^4 - 5 x^3 y^2 + 5x y^4 \]

Thus, the answer is \[2 x^4 y^2 - 2 x^2 y^4 - 5 x^3 y^2 + 5x y^4\] .

Concept: Multiplication of Algebraic Expressions
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APPEARS IN

RD Sharma Class 8 Maths
Chapter 6 Algebraic Expressions and Identities
Exercise 6.5 | Q 11 | Page 31
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