[S2_20150519XFCH] Chunking for Factorisation

Question

Introduction

     This is a question on factorisation (Am: factoring).  The key to doing this is chunking.  Can you see any chunk (maybe hidden) that is being repeated?  Take this out as the common factor and simplify.  Remember the square-of-differenceidentity  (a – b)² = a² – 2ab + b² .

Solution

Summary

     As in this question,  chunking is a very powerful tactic.  When you attempt to solve mathematics problems, open your eyes wide!

Heuristics Used

H04. Look for pattern(s)

H10. Simplify the problem

H11. Solve part of the problem

H13* Use Equation / write a Mathematical Sentence

Suitable Levels

* Lower Secondary Mathematics (usually secondary 2 ~ grade 8 approx.)

* other syllabuses that involve algebraic factorisation and expansion