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Simplify : (X − Y)(X + Y) (X2 + Y2)(X4 + Y2) - Mathematics

Answer in Brief

Simplify : (x − y)(x + y) (x2 + y2)(x4 + y2)

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Solution

To simplify, we will proceed as follows:

\[ \left( x - y \right)\left( x + y \right)\left( x^2 + y^2 \right)\left( x^4 + y^4 \right)\]

\[ = \left( x^2 - y^2 \right)\left( x^2 + y^2 \right)\left( x^4 + y^4 \right) \left[ \because\left( a + b \right)\left( a - b \right) = a^2 - b^2 \right]\]

\[ = \left( x^4 - y^4 \right)\left( x^4 + y^4 \right) \left[ \because \left( a + b \right)\left( a - b \right) = a^2 - b^2 \right]\]

\[ = x^8 - x^8 \left[ \because \left( a + b \right)\left( a - b \right) = a^2 - b^2 \right]\]

Concept: Multiplication of Algebraic Expressions
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APPEARS IN

RD Sharma Class 8 Maths
Chapter 6 Algebraic Expressions and Identities
Exercise 6.6 | Q 19.1 | Page 44
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