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प्रश्न
Factorize each of the following algebraic expression:
a2 + 4b2 − 4ab − 4c2
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उत्तर
\[49 - x^2 - y^2 + 2xy\]
\[ = 49 - ( x^2 - 2xy + y^2 )\]
\[ = 49 - ( x^2 - 2 \times x \times y + y^2 )\]
\[ = 7^2 - (x - y )^2 \]
\[ = [7 - (x - y)][7 + (x - y)]\]
\[ = (7 - x + y)(7 + x - y)\]
\[ = (x - y + 7)(y - x + 7)\]
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Factorise the following expression and write them in the product form.
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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 |
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| (e) `4/11 - x = (-7)/11` | (v) x = −24 |
