Question

If L.C. M of x⁴-27a³x and (x - 3a) is x(x - 3a)²
x(x-3a)² (x²+3ax+9a²),then G.C.D is​

Answer 1

Answer:

(x-3a)

Step-by-step explanation:

x4 – 27a3 x = x[x3 – (3a)3]

= x[(x – 3a)(x2 + 9a2 + 3ax)]

= x(x – 3a)(x2 + 9a2 + 3ax)

→ (x – 3a)2 = (x – 3a)(x – 3a)

Greatest common divisor = (x – 3a)