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प्रश्न
Factorize each of the following algebraic expressions:
16(2l − 3m)2 −12(3m − 2l)
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उत्तर
\[16(2l - 3m )^2 - 12(3m - 2l)\]
\[ = 16(2l - 3m )^2 + 12(2l - 3m) [ \because (3m - 2l) = - (2l - 3m)]\]
\[ = [16(2l - 3m) + 12](2l - 3m) [\text{ Taking }(2l - 3m)\text{ as the common factor }]\]
\[ = 4[4(2l - 3m) + 3](2l - 3m) {\text{ Taking 4 as the common factor of }[16(2l - 3m) + 12]}\]
\[ = 4(8l - 12m + 3)(2l - 3m)\]
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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 |
