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प्रश्न
Factorize each of the following algebraic expression:
96 − 4x − x2
उत्तर
\[96 - 4x - x^2 \]
\[ = 100 - 4 - 4x - x^2 \]
\[ = 100 - ( x^2 + 4x + 4)\]
\[ = 100 - ( x^2 + 2 \times x \times 2 + 2^2 )\]
\[ = {10}^2 - (x + 2 )^2 \]
\[ = [10 - (x + 2)][10 + (x + 2)]\]
\[ = (10 - x - 2)(10 + x + 2)\]
\[ = (8 - x)(12 + x)\]
\[ = (x + 12)( - x + 8)\]
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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` |
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