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  • https://stats.libretexts.org/Sandboxes/JolieGreen/Finite_Mathematics_-_Spring_2023_-_OER/10%3A_Sets_and_Counting/10.07%3A_Binomial_Theorem
    The expansion \((x + y)^7 = (x + y) (x + y) (x + y) (x + y) (x + y) (x + y) (x + y) \) In multiplying the right side, each product is gotten by picking an \(x\) or \(y\) from each of the seven factors...The expansion \((x + y)^7 = (x + y) (x + y) (x + y) (x + y) (x + y) (x + y) (x + y) \) In multiplying the right side, each product is gotten by picking an \(x\) or \(y\) from each of the seven factors \((x + y) (x + y) (x + y) (x + y) (x + y) (x + y) (x + y)\). \[(x+y)^{7}=\square x^{7}+\square x^{6} y+ \square x^{5} y^{2}+ \square x^{4} y^{3}+ \square x^{3} y^{4}+\square x^{2} y^{5}+\square x y^{6}+\square y^{7} \nonumber \]
  • https://stats.libretexts.org/Under_Construction/Purgatory/FCC_-_Finite_Mathematics_-_Spring_2023/10%3A_Sets_and_Counting/10.07%3A_Binomial_Theorem
    The expansion \((x + y)^7 = (x + y) (x + y) (x + y) (x + y) (x + y) (x + y) (x + y) \) In multiplying the right side, each product is gotten by picking an \(x\) or \(y\) from each of the seven factors...The expansion \((x + y)^7 = (x + y) (x + y) (x + y) (x + y) (x + y) (x + y) (x + y) \) In multiplying the right side, each product is gotten by picking an \(x\) or \(y\) from each of the seven factors \((x + y) (x + y) (x + y) (x + y) (x + y) (x + y) (x + y)\). \[(x+y)^{7}=\square x^{7}+\square x^{6} y+ \square x^{5} y^{2}+ \square x^{4} y^{3}+ \square x^{3} y^{4}+\square x^{2} y^{5}+\square x y^{6}+\square y^{7} \nonumber \]
  • https://stats.libretexts.org/Courses/Fresno_City_College/New_FCC_DS_21_Finite_Mathematics_-_Spring_2023/10%3A_Sets_and_Counting/10.07%3A_Binomial_Theorem

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