Question

Q: factorise each of the following terms completly.
3p^2 +15pq+18q^2

Answer 1

Step-by-step explanation:

3p^2 + 15pq + 18q^2

= 3 ( p^2 + 5pq + 6q^2 )

= 3 { p^2 + (3+2) pq + 6q^2 }

= 3 { p^2 + 3pq + 2pq + 6q^2 }

= 3 { p ( p + 3q ) + 2q ( p + 3q ) }

= 3 ( p + 3q ) ( p + 2q )