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10.7: Binomial Theorem
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 $(x + y) (x + y) (x + y) (x + y) (x + y) (x + y) (x + y)$ . $(x+y)^{7}=\square x^{7}+\square x^{6} y+ \square x^{5} y^{2}+ \square x^{4} y^{3}+ \square x^{3} y^{4}+\square x^{2} y^{5}+\square x y^{6}+\square y^{7} \nonumber$
10.7: Binomial Theorem
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 $(x + y) (x + y) (x + y) (x + y) (x + y) (x + y) (x + y)$ . $(x+y)^{7}=\square x^{7}+\square x^{6} y+ \square x^{5} y^{2}+ \square x^{4} y^{3}+ \square x^{3} y^{4}+\square x^{2} y^{5}+\square x y^{6}+\square y^{7} \nonumber$
10.7: Binomial Theorem
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
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 $(x + y) (x + y) (x + y) (x + y) (x + y) (x + y) (x + y)$ . $(x+y)^{7}=\square x^{7}+\square x^{6} y+ \square x^{5} y^{2}+ \square x^{4} y^{3}+ \square x^{3} y^{4}+\square x^{2} y^{5}+\square x y^{6}+\square y^{7} \nonumber$

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