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1 answer:
You can just 1) multiply the binomial by itself, or you can use 2) the square of a binomial pattern. I'll show it to you both ways. 1) Multiply the binomial by itself. (3x - 2)^2 = (3x - 2)(3x - 2) = Multiply every term of the first binomial by every term of the second binomial, then collect like terms. (This is often called using FOIL.) = 9x^2 - 6x - 6x + 4 = 9x^2 - 12x + 4 2) Use the square of a binomial pattern The square of a binomial is (a - b)^2 = a^2 - 2ab - b^2 a^2 is the square of the first term. b^2 is the square of the second term. -2ab is the product of the two terms and 2. You have (3x - 2)^2, where the first term is 3x, and the second term is -2 square the first term: 9x^2 square the last term: 4 the product of the terms and 2 is: -12x Put it all together, and you get 9x^2 - 12x + 4 just like we got above with the other method.
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