Question

Find the LCM of these two expressions: m2 + 11m + 10 and m2 + 9m – 10.

Answer 1

Answer:

(m+1)(m-1)(m+10)

Step-by-step explanation:

To find the least common multiple of the two polynomial given, we need to:

1. Factorise each term
2. Write each factor not duplicating the 'common' ones

1)

Equation1

m² + 11m + 10

(m+1)(m+10)         using middle term breaking

Equation2

m² + 9m – 10

(m-1)(m+10)           using middle term breaking

2)

(m+1)(m-1)(m+10)

Hence, this is my least common multiple.