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Binomial Expansions Image Source:

Binomial Expansion - Numbers We know (3 + 2)(6 + 4) = 5 x 10 = 50 We can also do two lots of distributive law: (3+2)(6+4) = 3 x x 4 +2 x 6 +2 x 4 = = 50

Binomial Expansion What is (k + 2)(k + 3) expanded? This is two distributive law problems: (k+2)(k+3) = k x k + k x 3 +2 x k +2 x 3 = k 2 + 3k + 2k + 6 = k 2 + 5k + 6

Binomial Expansion What is (k - 2)(2k + 5) expanded? This is simply two distributive law problems: (k-2)(2k+5) = k x 2k + k x 5 -2 x 2k -2 x 5 = 2k 2 + 5k - 4k -10 = 2k 2 + k - 10

Binomial Expansion What is (4m - 2)(3m - 5) expanded? This is simply two distributive law problems: (4m-2)(3m-5) = 4m x 3m + 4m x x 3m -2 x -5 = 12m 2 -20m – 6m +10 = 12m 2 -26m + 10

Binomial Expansions End of Presentation Image Source: