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Factorize Each of the Following Expression: X4 − 625 - Mathematics

Sum

Factorize each of the following expression:
x4 − 625

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Solution

\[x^4 - 625\]
\[ = ( x^2 )^2 - {25}^2 \]
\[ = ( x^2 + 25)( x^2 - 25)\]
\[ = ( x^2 + 25)( x^2 - 5^2 )\]
\[ = ( x^2 + 25)(x + 5)(x - 5)\]

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APPEARS IN

RD Sharma Class 8 Maths
Chapter 7 Factorization
Exercise 7.5 | Q 31 | Page 17
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