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प्रश्न
Factorize each of the following algebraic expression:
4x4 + y4
उत्तर
\[4 x^4 + y^4 \]
\[ = 4 x^4 + 4 x^2 y^2 + y^4 - 4 x^2 y^2 \]
\[ = [(2 x^2 )^2 + 2 \times 2 x^2 \times y + ( y^2 )^2 ] - (2xy )^2 \]
\[ = (2 x^2 + y^2 )^2 - (2xy )^2 \]
\[ = [(2 x^2 + y^2 ) - 2xy][(2 x^2 + y^2 ) + 2xy]\]
\[ = (2 x^2 - 2xy + y^2 )(2 x^2 + 2xy + y^2 )\]
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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 |
