solvethe sum using the identity
(3a + 7b)^2 using (9 + b)^2 = 9^2+ 2ab + b^2
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Correct Question:-
➡ Expand (3a + 7b)² using identity.
Solution:-
(3a + 7b)²
= (3a)² + (7b)² + 2×(3a)×(7b)
= 9a² + 21b² + 42ab
= 9a² + 42ab + 21b²
Hence, the expanded form is 9a² + 42ab + 21b²
Identity used:-
➡ (a + b)² = a² + 2ab + b²
Other Identities:-
➡ (a - b)² = a² - 2ab + b²
➡ a² - b² = (a + b)(a - b)
➡ (a + b)³ = a³ + 3a²b + 3ab² + b²
➡ (a - b)³ = a³ - b³ - 3a²b + 3ab²
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