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Factorize Each of the Following Expression: 16(2x − 1)2 − 25y2 - Mathematics

Sum

Factorize each of the following expression:
16(2x − 1)2 − 25y2

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Solution

\[16(2x - 1 )^2 - 25 y^2 \]
\[ = [4(2x - 1) ]^2 - (5y )^2 \]
\[ = [4(2x - 1) - 5y][4(2x - 1) + 5y]\]
\[ = (8x - 4 - 5y)(8x - 4 + 5y)\]
\[ = (8x - 5y - 4)(8x + 5y - 4)\]

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APPEARS IN

RD Sharma Class 8 Maths
Chapter 7 Factorization
Exercise 7.5 | Q 35 | Page 17
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