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Question
Factorize each of the following algebraic expressions:
a(x − y) + 2b(y − x) + c(x − y)2
Solution
\[a(x - y) + 2b(y - x) + c(x - y )^2 \]
\[ = a(x - y) - 2b(x - y) + c(x - y )^2 [ \because (y - x) = - (x - y)]\]
\[ = [a - 2b + c(x - y)](x - y)\]
\[ = (a - 2b + cx - cy)(x - y)\]
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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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