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Question
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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Match the following :
| Column A | Column B |
| (a) `x/2` = 10 | (i) x = 4 |
| (b) 20 = 6x − 4 | (ii) x = 1 |
| (c) 2x − 5 = 3 − x | (iii) x = 20 |
| (d) 7x − 4 − 8x = 20 | (iv) x = `8/3` |
| (e) `4/11 - x = (-7)/11` | (v) x = −24 |
