Question

4x^(a+b), 6^(b+c) find lcm and hcf​

Answer 1

Answer:

Factorise all the polynomials

3x2−6x=3x(x−2) 

x2−4x+4=(x−2)(x−2)

x2+x−6=(x−2)(x+3)

The least common multiple for the first two polynomials is 3x(x−2)2

The LCM of three polynomials is LCM of 3x(x−2)2 and (x−2)(x−3)

⇒LCM=3x(x−22)(x+3)

The highest common factor of first two polynomials is (x−2)

The HCF of all the three polynomials is HCF of (x−2) and (x−2)(x−3)

⇒HCF=(x−2)

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