Square of a Binomial

🎬 Video Tutorial

  • Square of a Binomial Formula: $(a + b)^2 = a^2 + 2ab + b^2$.
  • Alternative Case – Minus Sign: $(a – b)^2 = a^2 – 2ab + b^2$.
  • Special Case – Difference of Squares: $(a + b)(a – b) = a^2 – b^2$.
  • Geometric Interpretation: Visualising $(a + b)^2$ as the area of a large square, which is the sum of $a^2$, $b^2$, and $2ab$ (small rectangles within the square).
  • Example Problems: Practice with expressions like $(-2x + 3)^2$ and $(5x – 2y)^2$ by identifying $a$ and $b$ terms, applying the appropriate formula, and simplifying to reach the solution.

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