1. Expanding More than 2 Binomials – Demonstration
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2. Expanding More than 2 Binomials: Grid Method
DEMO
Expanding More than 2 Binomials: Grid Method
Expand & Simplify:
𝑥(𝑥+4) (𝑥+3) 𝑥 ×
+ 4 𝑥 𝑥2
+ 4𝑥
+ 3
+ 3𝑥
+ 12
𝑥2+7𝑥+12 𝑥2
+ 7𝑥
+ 12 × 𝑥 𝑥3
+ 7𝑥2
+ 12𝑥
𝑥3+7𝑥2+12𝑥

3. Expanding More than 2 Binomials: Grid Method
DEMO
Expanding More than 2 Binomials: Grid Method
Expand & Simplify:
(𝑥+1)(𝑥+2) (𝑥+3) 𝑥 ×
+ 2 𝑥 𝑥2
+ 2𝑥
+ 3
+ 3𝑥
+ 6
𝑥2+5𝑥+6 𝑥2
+ 5𝑥
+ 6 × 𝑥 𝑥3
+ 5𝑥2
+ 6𝑥
+ 1
+ 𝑥2
+ 5𝑥
+ 6
𝑥3+5𝑥2+𝑥2+6𝑥+5𝑥+6
𝑥3+6𝑥2+11𝑥+6

4. Expanding More than 2 Binomials: Grid Method
DEMO
Expanding More than 2 Binomials: Grid Method
Expand & Simplify:
(𝑥+2)(𝑥+2) (𝑥+3) 𝑥 ×
+ 2 𝑥 𝑥2
+ 2𝑥
+ 3
+ 3𝑥
+ 6
𝑥2+5𝑥+6 𝑥2
+ 5𝑥
+ 6 × 𝑥 𝑥3
+ 5𝑥2
+ 6𝑥
+ 2
+ 2𝑥2
+ 10𝑥
+ 12
𝑥3+5𝑥2+2𝑥2+6𝑥+10𝑥+12
𝑥3+7𝑥2+16𝑥+12

5. Expanding More than 2 Binomials: Grid Method
DEMO
Expanding More than 2 Binomials: Grid Method
Expand & Simplify:
(𝑥+1)(𝑥−2) (𝑥+3) 𝑥 ×
− 2 𝑥 𝑥2
− 2𝑥
+ 3
+ 3𝑥
− 6
𝑥2+𝑥−6 𝑥2
+ 𝑥
− 6 × 𝑥 𝑥3
+ 𝑥2
− 6𝑥
+ 1
+ 𝑥2
+ 𝑥
− 6
𝑥3+𝑥2+𝑥2−6𝑥+𝑥−6
𝑥3+2𝑥2−5𝑥−6

6. Expanding More than 2 Binomials: Grid Method
DEMO
Expanding More than 2 Binomials: Grid Method
Expand & Simplify:
(𝑥+2)(𝑥−4) (𝑥−2) 𝑥 ×
− 2 𝑥 𝑥2
− 2𝑥
− 4
− 4𝑥
+ 8
𝑥2−6𝑥+ 8 𝑥2
− 6𝑥
+ 8 × 𝑥 𝑥3
− 6𝑥2
+ 8𝑥
+ 2
+ 2𝑥2
− 12𝑥
+ 16
𝑥3−6𝑥2+2𝑥2+8𝑥−12𝑥+16
𝑥3−4𝑥2−4𝑥+16

7. Expanding More than 2 Binomials: Grid Method
DEMO
Expanding More than 2 Binomials: Grid Method
YOUR TURN
Expand & Simplify:
Expand & Simplify:
(𝑥+1)(𝑥+2) (𝑥+3)
(𝑥+2)(𝑥+2) (𝑥+3) 𝑥
+ 2 𝑥 × ×
+ 2 𝑥 𝑥2
+ 2𝑥 𝑥 𝑥2
+ 2𝑥
+ 3
+ 3𝑥
+ 6
+ 3
+ 3𝑥
+ 6
𝑥2+5𝑥+6
𝑥2+5𝑥+6 𝑥2
+ 5𝑥
+ 6 𝑥2
+ 5𝑥
+ 6 × × 𝑥 𝑥3
+ 5𝑥2
+ 6𝑥 𝑥 𝑥3
+ 5𝑥2
+ 6𝑥
+ 1
+ 𝑥2
+ 5𝑥
+ 6
+ 2
+ 2𝑥2
+ 10𝑥
+ 12
𝑥3+5𝑥2+𝑥2+6𝑥+5𝑥+6
𝑥3+5𝑥2+2𝑥2+6𝑥+10𝑥+12
𝑥3+6𝑥2+11𝑥+6
𝑥3+7𝑥2+16𝑥+12

8. Expanding More than 2 Binomials: Grid Method
DEMO
Expanding More than 2 Binomials: Grid Method
YOUR TURN
Expand & Simplify:
Expand & Simplify:
(𝑥+1)(𝑥+2) (𝑥+3)
(𝑥−3)(𝑥+1) (𝑥+4) 𝑥
+ 2 𝑥 × ×
+ 4 𝑥 𝑥2
+ 2𝑥 𝑥 𝑥2
+ 4𝑥
+ 3
+ 3𝑥
+ 6
+ 1
+ 1𝑥
+ 4
𝑥2+5𝑥+6
𝑥2+5𝑥+4 𝑥2
+ 5𝑥
+ 6 𝑥2
+ 5𝑥
+ 4 × × 𝑥 𝑥3
+ 5𝑥2
+ 6𝑥 𝑥 𝑥3
+ 5𝑥2
+ 4𝑥
+ 1
+ 𝑥2
+ 5𝑥
+ 6
− 3
− 3𝑥2
−15𝑥
− 12
𝑥3+5𝑥2+𝑥2+6𝑥+5𝑥+6
𝑥3+5𝑥2−3𝑥2−15𝑥+4𝑥−12
𝑥3+6𝑥2+11𝑥+6
𝑥3+2𝑥2−11𝑥−12

9. Expanding More than 2 Binomials: Grid Method
DEMO
Expanding More than 2 Binomials: Grid Method
YOUR TURN
Expand & Simplify:
Expand & Simplify:
(𝑥+1)(𝑥+2) (𝑥+3)
(𝑥+2)(𝑥−4) (𝑥+2) 𝑥
+ 2 𝑥 × ×
+ 2 𝑥 𝑥2
+ 2𝑥 𝑥 𝑥2
+ 2𝑥
+ 3
+ 3𝑥
+ 6
− 4
− 4𝑥
− 8
𝑥2+5𝑥+6
𝑥2−2𝑥−8 𝑥2
+ 5𝑥
+ 6 𝑥2
− 2𝑥
− 8 × × 𝑥 𝑥3
+ 5𝑥2
+ 6𝑥 𝑥 𝑥3
− 2𝑥2
− 8𝑥
+ 1
+ 𝑥2
+ 5𝑥
+ 6
+ 2
+ 2𝑥2
− 4𝑥
− 16
𝑥3+5𝑥2+𝑥2+6𝑥+5𝑥+6
𝑥3−2𝑥2+2𝑥2−8𝑥−4𝑥−16
𝑥3+6𝑥2+11𝑥+6
𝑥3−12𝑥−16

10. Expanding More than 2 Binomials: Grid Method
DEMO
Expanding More than 2 Binomials: Grid Method
YOUR TURN
Expand & Simplify:
Expand & Simplify:
(𝑥+1)(𝑥+2) (𝑥+3)
𝑥 𝑥+2 𝑥+3 𝑥 ×
+ 2 𝑥 𝑥2
+ 2𝑥
𝑥+1 𝑥+2 𝑥+2
+ 3
+ 3𝑥
+ 6
𝑥2+5𝑥+6
𝑥+4 𝑥−2 𝑥+3 𝑥2
+ 5𝑥
+ 6 × 𝑥 𝑥3
+ 5𝑥2
+ 6𝑥
𝑥−2 3
+ 1
+ 𝑥2
+ 5𝑥
+ 6
𝑥3+5𝑥2+𝑥2+6𝑥+5𝑥+6
𝑥−5 𝑥−1 𝑥+3
𝑥3+6𝑥2+11𝑥+6

11. Expanding More than 2 Binomials: Grid Method
DEMO
Expanding More than 2 Binomials: Grid Method
YOUR TURN
Expand & Simplify:
Expand & Simplify:
(𝑥+1)(𝑥+2) (𝑥+3)
𝑥 𝑥+2 𝑥+3 𝑥 ×
+ 2
𝑥3+5𝑥2+6𝑥 𝑥 𝑥2
+ 2𝑥
𝑥+1 𝑥+2 𝑥+2
+ 3
+ 3𝑥
+ 6
𝑥3+5𝑥2+8𝑥+4
𝑥2+5𝑥+6
𝑥+4 𝑥−2 𝑥+3 𝑥2
+ 5𝑥
+ 6 ×
𝑥3+5𝑥2−2𝑥−24 𝑥 𝑥3
+ 5𝑥2
+ 6𝑥
𝑥−2 3
+ 1
+ 𝑥2
+ 5𝑥
+ 6
𝑥3−6𝑥2+12𝑥−8
𝑥3+5𝑥2+𝑥2+6𝑥+5𝑥+6
𝑥−5 𝑥−1 𝑥+3
𝑥3+6𝑥2+11𝑥+6
𝑥3−3𝑥2−13𝑥+15

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