Question

simplify:-(5a+3b)^2+(3a+5b)^2​

Answer 1

Answer:

Solution :-

★ (5a + 3b)² + (3a + 5b)²

➙ {(5a)² + 2 × 5a × 3b + (3b)²} + {(3a)² + 2 × 3a × 5b + (5b)²}

➙ (25a² + 30ab + 9b²) + (9a² + 30ab + 25b²)

➙ 25a² + 30ab + 9b² + 9a² + 30ab + 25b²

➙ 25a² + 9a² + 30ab + 30ab + 9b² + 25b²

➙ 34a² + 60ab + 34b²

➙ 2(17a² + 30ab + 17b²)

∴ The answer of this question is 2(17a² + 30ab + 17b²)

Formula used :-

➔ (a + b)²

➭ a² + 2ab + b²