Expand : (2x + 3y)2
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✬ Answer:- ✬
To Expand:-
(2x + 3y)²
Procedure:-
(2x + 3y)²
= (2x)² + 2(2x)(3y) + (3y)²
[∵ (a + b)² = a² + 2ab + b²]
= 4x² + 12xy + 9y²
∴ (2x + 3y)² = 4x² + 12xy + 9y²
✬ More Algebraic Identities:- ✬
- (a - b)² = a² - 2ab + b²
- a² - b² = (a + b)(a - b)
- (a + b + c)² = a² + b² + c² + 2(ab + bc + ca)
- (x + a)(x + b) = x² + (a + b)x + ab
- (a + b)³ = a³ + b³ + 3ab(a + b)
- (a - b)³ = a³ - b³ - 3ab(a - b)
- 4ab = (a + b)² - (a - b)²
- 2(a² + b²) = (a + b)² + (a - b)²
- (a + b + c)(a² + b² + c² - ab - bc - ca) = a³ + b³ + c³ - 3abc
- a³ - b³ = (a - b)(a² + ab + b²)
- a³ + b³ = (a + b)(a² - ab + b²)
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