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प्रश्न
Factorize each of the following algebraic expression:
9z2 − x2 + 4xy − 4y2
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उत्तर
\[9 z^2 - x^2 + 4xy - 4 y^2 \]
\[ = 9 z^2 - ( x^2 - 4xy + 4 y^2 )\]
\[ = 9 z^2 - [ x^2 - 2 \times x \times 2y + (2y )^2 ]\]
\[ = (3z )^2 - (x - 2y )^2 \]
\[ = [3z - (x - 2y)][3z + (x - 2y)]\]
\[ = (3z - x + 2y)(3z + x - 2y)\]
\[ = (x - 2y + 3z)( - x + 2y + 3z)\]
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Factorise the following expression and write in the product form.
tr2s3
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 |
