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प्रश्न
Factorize each of the following algebraic expressions:
(2x − 3y)(a + b) + (3x − 2y)(a + b)
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उत्तर
\[(2x - 3y)(a + b) + (3x - 2y)(a + b)\]
\[ = (2x - 3y + 3x - 2y)(a + b) [\text{ Taking }(a + b)\text{ as the common factor }]\]
\[ = (5x - 5y)(a + b)\]
\[ = 5(x - y)(a + b) [\text{ Taking 5 as the common factor of }(5x - 5y)]\]
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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 |
