Question

expand ( a + 2 b + 2 c ) ^2
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Answer 1

Answer:

=$a^{2} + 4b^2+4c^2$

Step-by-step explanation:

Answer 2

Step-by-step explanation:

To expand this we will have to use an identity i.e (a+b+c)² = a² + b² + c² + 2ab + 2bc + 2ac

Now, just put the values as per the identity:-

→ (a+b+c)² = a² + b² + c² + 2ab + 2bc + 2ac

→ (a+2b+2c)² = a² + (2b)² + (2c)² + (2×a×2b) + (2×2b×2c) + (2×a×2c)

→ (a+2b+2c)² = a² + 4b² + 4c² + 4ab + 8bc + 4ac

Therefore the expanded form of (a+2b+2c)² is → a² + 4b² + 4c² + 4ab + 8bc + 4ac