1. Multiplying binomials intro

2. Binomial An algebraic expression which contains two terms
is known as Binomial 
Example 1 : 2x + 3x2 
It is a Binomial, because it contains two terms 2x and 3x2 
Example 2 : 9pq + 11p2q
It is a Binomial, because it contains two terms 9pq and 11p2q

3. "FOIL" Method  for multiplying binomial
FOIL stands for "First, Outer, Inner, Last" 
It is the sum of:
· multiplying the First terms of each binomial,
· multiplying the Outer terms of each binomial,
· multiplying the Inner terms of each binomial, and
· multiplying the Last terms of each binomial
Recap: Multiplying powers with the same base:
Add the exponents. (am)x(an) = am+n
For example: ( a3 )x(a2) = a3+2 = a5

4. Ans: x2 + 6x + 8 Example 1: Multiply (x+2) (x+4) Solution:
F : (x + 2) (x + 4)
O : (x + 2) (x + 4)
I : (x + 2) (x + 4)
L : (x + 2) (x + 4)
F : Multiplying the first term of each binomial we get x x x = x 2
O : Multiplying the outer term of each binomial, we get x x 4 = 4x
I : Multiplying the inner term of each binomial, we get 2 x x = 2x
L : Multiplying the last term of each binomial, we get 2 x 4 = 8
After taking sum of above , we get x2 + 4x + 2x + 8
= x2 + 6x + 8
Ans: x2 + 6x + 8

5. Ans: -x2 + 4x - 3 Example 2: (-x + 3)(x – 1) Solution:
F: (-x + 3) (x - 1)
O: (-x + 3) (x - 1)
I: (-x + 3) (x - 1)
L: (-x + 3) (x - 1)
F : Multiplying the first term of each binomial we get (-x) x x = -x2
O : Multiplying the outer term of each binomial, we get (-x) x (-1) = x
I : Multiplying the inner term of each binomial, we get 3 x x = 3x
L : Multiplying the last term of each binomial, we get 3 x (-1) = -3
After taking sum of above , we get -x2 + x + 3x + (-3)
= -x2 + x + 3x -3
= -x2 + 4x - 3
Ans: -x2 + 4x - 3

6. Try These
Multiply (j - 6) (j + 4)
Multiply (-m + 8) (m - 9)