(a + b)²
AREA PROOF · ALGEBRA
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One Square, Four Pieces
a²
ab
ab
b²
a
b
a
b
a²
+ ab
+ ab
+ b²
(a+b)² =
a² + 2ab + b²
(3+2)²
a = 3, b = 2
9 + 12 + 4
a² + 2ab + b²
= 25
= 5² ✔
1. Formulas
(a + b)² = a² + 2ab + b²
(a − b)² = a² − 2ab + b²
2. Example
(x + 5)² = x² + 10x + 25
102² = (100 + 2)² = 10000 + 400 + 4 = 10404
3. Common Mistake
(a + b)² ≠ a² + b²
Don't forget 2ab!
MATRIC MATHS · ALGEBRAIC EXPRESSIONS · PUNJAB BOARDS
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