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.
Membership Required
You must be a member of Math Angel Plus or Math Angel Unlimited to watch this video.