Friday, 6 March 2015

Algebraic Expansion involving binomials (and trinomials)

Recap: What is distributive law (of multiplication of addition/subtraction)?

Use distributive law to expand and simplify 5x(2x-3y). 

Challenge: Expand and simplify (x+2)(x+3).

 Visit goo.gl/bsr3 Visualise the expansion of (x+2)(x+3).

 Example: For (x+3)(x+3), we have

 

Hence (x+3)^2 = x^2 + 6x + 9.