Question

Factorise : $5mn+15mnp$

• A. $5mn(1+3p)$
  
• B. $3mn(1+5p)$
• C. $5mn(1-3p)$
• D. none of these

Answer 1

The correct option is A $5mn(1+3p)$

The common factor between $5mn$ and $15mnp$ is $5mn$ that is the HCF of $5mn$ and $15mnp$ is $5mn$.

Therefore, we take $5mn$ as a common factor in the expression $5mn+15mnp$ as shown below:

$5mn+15mnp=5mn(1+3p)$

Hence, the factorization of $5mn+15mnp$ is $5mn(1+3p)$.