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Question
Factorize each of the following algebraic expressions:
−4(x − 2y)2 + 8(x −2y)
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Solution
\[- 4(x - 2y )^2 + 8(x - 2y)\]
\[ = [ - 4(x - 2y) + 8](x - 2y) [\text{ Taking }(x - 2y)\text{ as the common factor }]\]
\[ = 4[ - (x - 2y) + 2](x - 2y) {\text{ Taking 4 as the common factor of }[ - 4(x - 2y) + 8]}\]
\[ = 4(2y - x + 2)(x - 2y)\]
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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 |
