Question

evaluate : (2a + 3b + 4c) power 2 + (2a - 3b + 4c) power 2 + (2a + 3b - 4c) power 2​

Answer 1

Answer:

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Answer 2

Answer:

$3(2a {} + 3b + 4c) {}^{2}$

Step-by-step explanation:

$(2a + 3b + 4c) {}^{2} + (2a + 3b + 4c) {}^{2} (2a + 3b - 4c) {}^{2}$

$= 4 {a}^{2} + 9 {b}^{2} + 16 {c}^{2} + 4 {a}^{2} + 9 {b}^{2} + 16 {c}^{2} + 4 {a}^{2} + 9 {b}^{2} + 16 {c}^{2}$

$12 {a}^{2} + 27 {b}^{2} + 48 {c}^{2}$

$3(4 {a}^{2} + 9 {b}^{2} + 16 {c)}^{2}$

$3(2 {a}^{} + 3b + 4c) {}^{2}$

Hope this helps you