Exploring Algebraic Identities

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Across
  1. 3. In the geometric interpretation of ((a+b)^3), what does the expression represent?
  2. 4. Which three-dimensional shape helps explain the identity ((a+b)^3) geometrically?
  3. 6. The expression (a^2+2ab+b^2) represents the area of a shape with sides (a+b).What is the shape?
  4. 7. What is the mathematical process of rewriting (x^2+7x+12) as ((x+3)(x+4))?
  5. 10. TERM In factorising (x^2+px+q), which term is split into two parts to facilitate grouping?
Down
  1. 1. In (x^2+7x+12), what is the name of the term (12), which has no variable?
  2. 2. In(x^2+5x+6=(x+2)(x+3)),what are((x+2))and((x+3)) called in relation to the original expression?
  3. 5. What is the process of removing brackets by multiplying terms out, often using identities?
  4. 8. TILES Which visual mathematical tools use (x^2)-tiles, (x)-tiles and unit tiles to explain factorisation?
  5. 9. What do we call an equality that remains true for every permissible value of its variables?