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:

Factors of each expression:

• m² + 11m + 10 =
• m²+m + 10m+10 =
• m(m+1)+10(m+1) =
• (m+1)(m+10)

m² + 11m + 10 = (m+1)(m+10)

• m² + 9m – 10 =
• m² - m + 10m - 10 =
• m(m-1) + 10(m-1) =
• (m-1)(m+10)

m² + 9m – 10 = (m-1)(m+10)

LCM of the two expressions is:

• (m-1)(m+1)(m+10)