Expanding More than 2 Binomials – Demonstration This resource provides animated demonstrations of the mathematical method. Check animations and delete slides not needed for your class.

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

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

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

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

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

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

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

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

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

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

tom@goteachmaths.co.uk Questions? Comments? Suggestions? …or have you found a mistake!? Any feedback would be appreciated . Please feel free to email: tom@goteachmaths.co.uk