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Question
Factorize each of the following algebraic expressions:
(x − y)2 + (x − y)
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Solution
\[(x - y )^2 + (x - y)\]
\[ = (x - y)(x - y) + (x - y) [\text{ Taking }(x - y)\text{ as the common factor }]\]
\[ = (x - y + 1)(x - y)\]
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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 |
