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Factorize Each of the Following Algebraic Expression: (X + 2)2 − 6(X + 2) + 9 - Mathematics

Sum

Factorize the following algebraic expression:
(x + 2)2 − 6(x + 2) + 9

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Solution

\[(x + 2 )^2 - 6(x + 2) + 9\]
\[ = (x + 2 )^2 - 2 \times (x + 2) \times 3 + 3^2 \]
\[ = [(x + 2) - 3 ]^2 \]
\[ = (x + 2 - 3 )^2 \]
\[ = (x - 1 )^2 \]
\[ = (x - 1)(x - 1)\]

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APPEARS IN

RD Sharma Class 8 Maths
Chapter 7 Factorization
Exercise 7.6 | Q 16 | Page 23
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