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In the Expansion of (2x2 - 8) (X - 4)2; Find the Value of Coefficient of X2 - Mathematics

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Question

In the expansion of (2x2 - 8) (x - 4)2; find the value of coefficient of x2

Sum

Solution

( 2x2 - 8 )( x - 4 )2
= ( 2x2 - 8 )( x2 - 8x + 16 )
= 2x4 - 16x3 + 32x2 - 8x2 + 64x -128
= 2x4 - 16x3 + 24x2 + 64x - 128
Hence,
Coefficient of x2 = 24

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Expansion of Formula
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Chapter 4: Expansions (Including Substitution) - Exercise 4 (D) [Page 64]

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Selina Concise Mathematics [English] Class 9 ICSE
Chapter 4 Expansions (Including Substitution)
Exercise 4 (D) | Q 3.2 | Page 64
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