Question

Write (3a+4b +5c)² in expanded form ​

Answer 1

9a²+ 16b² + 25c²

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Answer 2

❄️ Answer :

(3a+4b +5c)² = 9a² + 16b² + 25c² + 24ab + 40bc + 30ac in expanded form .

❄️ Solution :

Comparing the given expression with (x + y + z)², we find that x = 3a, y = 4b and z = 5c.

Therefore, using Identity V, we have

(3a + 4b + 5c)² = (3a)² + (4b)² + (5c)² + 2(3a)(4b) + 2(4b)(5c) + 2(5c)(3a) = 9a² + 16b² + 25c² + 24ab + 40bc + 30ac