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. |
You need to login to perform this action.
You will be redirected in
3 sec
