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Question
Factorize each of the following algebraic expression:
a2 − 2ab + b2 − c2
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Solution
\[a^2 - 2ab + b^2 - c^2 \]
\[ = ( a^2 - 2ab + b^2 ) - c^2 \]
\[ = ( a^2 - 2 \times a \times b + b^2 ) - c^2 \]
\[ = (a - b )^2 - c^2 \]
\[ = [(a - b) - c][(a - b) + c]\]
\[ = (a - b - c)(a - b + c)\]
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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 |
