Question

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

विकल्प

• (a –b)(x –a)(x –b)

• (a –b)(x –a)(x + b)

• (b –a)(x+ a)(x –b)

• (a + b)(x –a)(x + b)

Answer 1

(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).