1. Adding subtracting polynomial
using multiplication

2. Example1: Add 3p(p2 - 2p + 6) and 2p(p2 + 5p + 6)
Solution
Step1:- Use distributive property to open the parenthesis.
[3p(p2 - 2p + 6)] [2p(p2 + 5p + 6)]
= [(3p x p2) + (3p x - 2p) + (3p x 6)] + [(2p x p2) + (2p x 5p) + (2p x 6)]
= [3p3 - 6p2 + 18p] + [2p3 + 10p2 + 12p]
= 3p3 - 6p2 + 18p + 2p3 + 10p2 + 12p (after removing the bracket)
Step2:- Combine all the like terms
= 3p3 + 2p3 - 6p2 + 10p2 + 18p + 12p (after rearranging the terms)
= 5p3 + 4p2 + 30p (combining like terms)

3. Example2: Subtract 3m(2m2 - 3m + 3) and 5m(m2 + 2m + 2)
Solution
Step1:- Use distributive property to open the parenthesis.
[3m(2m2 - 3m + 3)] [5m(m2 + 2m + 2)]
= [(3m x 2m2) + (3m x - 3m) + (3m x 3)] - [(5m x m2)+(5m x 2m) +(5m x 2)]
= [6m3 - 9m2 + 9m] [5m3 + 10m2 + 10m]
If negative sign outside bracket then reverse the sign of each term inside the bracket
= 6m3 - 9m2 + 9m - 5m3 - 10m2 - 10m (after removing the bracket)
Step2:- Combine all the like terms
= 6m3 - 5m3 - 9m2 - 10m2 + 9m - 10m (after rearranging the terms)
= m3 - 19m2 - m (combining like terms)

4. Try these Add 3b(b2 - 2b + 5) and 4b(2b2 + 5b - 3)
Subtract 2f(3f2 + 2f - 3) and 5f(f2 - 3f + 2)