(2a+3b)^2-2(2a+3b)(2a-3b)+(2b-3b)^2
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Question :-
➠ (2a + 3b)² - 2(2a + 3b)(2a - 3b) + (2b - 3b)²
Formula used :-
➪ a² - 2ab + b²
➭ (a - b)²
Answer :-
➠ (2a + 3b)² - 2(2a + 3b)(2a - 3b) + (2a - 3b)²
➻ x² - 2xy + y² [Taking 2a + 3b = x, 2a - 3b = y ]
➻ (x - y)²
➻ {(2a + 3b) - (2a - 3b)}² [Putting value of x = 2a + 3b, y = 2a - 3b]
➻ (2a + 3b - 2a + 3b)²
➻ (2a - 2a + 3b + 3b)²
➻ (6b)²
➻ 36b²
∴ The value of (2a + 3b)² - 2(2a + 3b)(2a - 3b) + (2a - 3b)² is 36b²
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