1. Adding subtracting binomial
using multiplication

2. Example1: Add 2x(x + 3) and 3x(x + 5)
Solution
Step1:- Use distributive property to open the parenthesis.
[2x(x + 3)] [3x(x + 5)]
= [(2x x x) + (2x x 3)] + [(3x x x)+(3x x 5)]
= [2x2 + 6x] [3x2 + 15x]
= 2x2 + 6x + 3x2 + 15x (after removing the bracket)
Step2:- Combine all the like terms
= 2x2 + 3x2 + 6x + 15x (after rearranging the terms)
= 5x2 + 21x (combining like terms)

3. Example2: Subtract 5y(2y - 5) and 2y(3y - 7)
Solution
Step1:- Use distributive property to open the parenthesis.
[5y(2y - 5)] [2y(3y - 7)]
= [(5y x 2y) + (5y x -5)] - [(2y x 3y)+(2y x -7)]
= [10y2 – 25y] [6y2 - 14y]
If negative sign outside bracket then reverse the sign of each term inside the bracket
= 10y2 – 25y - 6y2 + 14y (after removing the bracket)
Step2:- Combine all the like terms
= 10y2 - 6y2 - 25y + 14y (after rearranging the terms)
= 4y2 – 11y (combining like terms)

4. Try these
Add 2m(m + 3) and 3m(m - 5)
Subtract 3p(p - 5) and 2p(p + 3)