A) (a - b) (x - a) (x - b)
B) (a - b) (x - a) (x + b)
C) (b - a) (x + a) (x - b)
D) (a + b) (x - a) (x + b)
Correct Answer: A
Solution :
Sol. [a] |
By checking all options |
(a - b) (x - a) (x - b) is the factor. |
\[\Rightarrow \,(a-b)(x-a)(x-b)\] |
\[=\,(ax-{{a}^{2}}-bx+ab)\,(x-b)\] |
\[=\,\,a{{x}^{2}}\,-{{a}^{2}}x\,-b{{x}^{2}}+abx-abx\] |
\[+\,{{a}^{2}}b\,+{{b}^{2}}x-a{{b}^{2}}\] |
\[=\,{{x}^{2}}\,(a-b)\,+{{b}^{2}}\,(x-a)\,+{{a}^{2}}(b-x)\] |
Hence, option is correct answer. |
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