evaluate : (2a + 3b + 4c) power 2 + (2a - 3b + 4c) power 2 + (2a + 3b - 4c) power 2
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evaluate : (2a + 3b + 4c) power 2 + (2a - 3b + 4c) power 2 + (2a + 3b - 4c) power
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Answer:
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Answer:
[tex]3(2a {} + 3b + 4c) {}^{2} [/tex]
Step-by-step explanation:
[tex](2a + 3b + 4c) {}^{2} + (2a + 3b + 4c) {}^{2} (2a + 3b - 4c) {}^{2} [/tex]
[tex] = 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} [/tex]
[tex]12 {a}^{2} + 27 {b}^{2} + 48 {c}^{2} [/tex]
[tex]3(4 {a}^{2} + 9 {b}^{2} + 16 {c)}^{2} [/tex]
[tex]3(2 {a}^{} + 3b + 4c) {}^{2} [/tex]
Hope this helps you