Question

find the LCM and HCF of (a^2b + a^2c) and (ab + bc) ^2​

Answer 1

Step-by-step explanation:

We know that the least common multiple (LCM) is the smallest number or expression that is a common multiple of two or more numbers or algebraic terms.

We first factorize the given monomials a

2

bc,b

2

ac and c

2

ab as shown below:

a

2

bc=a×a×b×c

b

2

ac=b×b×a×c

c

2

ab=c×c×a×b

Now multiply all the factors, using each common factor only once, therefore, the LCM is:

a×a×b×b×c×c=a

2

b

2

c

2

Hence, the LCM of a

2

bc,b

2

ac and c

2

ab is a

2

b

2

c

2

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