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A binomial squared (sum) is equal to the square of the first term, plus the double product of the first by the second, plus the square of the second term. In other words: $(a+b)^2=a^2+2ab+b^2$
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$\lim_{x\to1}\left(\frac{x^2+2x+1-4}{x-1}\right)$
Learn how to solve limits by direct substitution problems step by step online. Find the limit (x)->(1)lim(((x+1)^2-4)/(x-1)). A binomial squared (sum) is equal to the square of the first term, plus the double product of the first by the second, plus the square of the second term. In other words: (a+b)^2=a^2+2ab+b^2. Subtract the values 1 and -4. Sort the polynomial -3+x^2+2x in descending order to handle it more easily. Factor the trinomial x^2+2x-3 finding two numbers that multiply to form -3 and added form 2.