Question

(2a + 3b )^2 + 2(2a + 3b)(2a - 3b) + (2a - 3b )^2?​

Answer 1

Step-by-step explanation:

(2a+3b)²+2(2a+3b)(2a-3b)+(2a-3b)²

→4a²+9b²+12ab+2(4a²-9b²)+4a²+9b²-12ab

→8a²+18b²+8a²-18b²

→16a²

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Answer 2

Answer:

Question :-

➠ (2a + 3b)² + 2(2a + 3b)(2a - 3b) + (2a - 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 the value of x = 2a + 3b, y = 2a - 3b]

➻ (2a + 2a + 3b - 3b)²

➻ (4a)²

➻ 16a²

∴The value of (2a + 3b)² + 2(2a + 3b)(2a - 3b) + (2a - 3b)² is 16a²