Question

4. Find the H.C.F and L.C.M of:
i) x^2 - 25, x^2 - 6x + 5 and (x - 5)^2
ii) a^2 - ax, x^2 – 2ax + a² and x^2 - a^2​

Answer 1

Answer:

Clearly the common factors of the expressions

(x−1)(x−2)

2

(x+4)

3

and (x+1)(x−2)(x+4)

4

are (x−2) and (x+4)

3

∴ HCF = (x−2) (x+4)

3

and

LCM = (x−2)

2

(x−1)(x+1)(x+4)

4