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Factorize Each of the Following Expression: X4 − (2y − 3z)2 - Mathematics

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Question

Factorize each of the following expression:
x4 − (2y − 3z)2

Sum

Solution

\[x^4 - (2y - 3z )^2 \]
\[ = ( x^2 )^2 - (2y - 3z )^2 \]
\[ = [ x^2 - (2y - 3z)][ x^2 + (2y - 3z)]\]
\[ = ( x^2 - 2y + 3z)( x^2 + 2y - 3z)\]

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Chapter 7: Factorization - Exercise 7.5 [Page 17]

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RD Sharma Mathematics [English] Class 8
Chapter 7 Factorization
Exercise 7.5 | Q 38 | Page 17

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