Question

I(a+b+c+d+e+f+g+i )^2 is expanded and simplified then the number of different terms in the final answer

Answer 1

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Here is your answer in the attachment

The Number of different terms are 36.

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Answer 2

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Here is your answer.

$(a + b + c + d) {}^{2} + (e + f + g + i) {}^{2} + 2(a + b + c + d)(e + f + g + i) \\ \\ = (a + b) {}^{2} + (c + d) {}^{2} + 2(a + b)(c + d) + (e + f) {}^{2} + (g + i) {}^{2} + 2(e + f)(g + i) + 2(a + b + c + d)(e + f + g + i) \\ \\ = {a}^{2} + b {}^{2} + 2ab + {c}^{2} + {d}^{2} + 2cd + 2ac + 2ad + 2bc + 2bd + {e}^{2} + {f}^{2} + 2ef + {g}^{2} + {i}^{2} + 2gi + 2eg + 2ei + 2fg + 2fi + 2ae + 2af + 2ag + 2ai + 2be + 2bf + 2bg + 2bi + 2ce + 2cf + 2cg + 2ci + {2}^{} de + 2df + 2dg + 2di$

Therefore, The number of different terms are 36.

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