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x2(a –b) + a2(b –x) + b2(x –a) is factored as Options: - Mathematics

MCQ

x2(a –b) + a2(b –x) + b2(x –a) is factored as Options:

Options

  • (a –b)(x –a)(x –b)

  • (a –b)(x –a)(x + b)

  • (b –a)(x+ a)(x –b)

  • (a + b)(x –a)(x + b)
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Solution

(a –b)(x –a)(x –b)

Explanation:

x2(a − b) + a2b − a2x + b2x − ab2

x2(a − b) + ab (a − b) − x (a2 − b2)

(a − b) (x2 + ab − xa − xb)

(a − b) (x − a) (x − b).

Concept: Series and Equations (Entrance Exam)
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