With the standard identities with two examples
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The source of standard algebraic identities is the Binomial Theorem. The binomial theorem also known as binomial expansion is derived by expanding the powers of binomials or sums total of two terms. The coefficients used along with the terms for expanding are called binomial coefficients. The theorem and its generalizations are useful in proving theories, results and solving combinatorics problems, calculus, algebra, and several other mathematical problems. The standard algebraic identities are: (a + b)2 = a2 + 2ab + b2 (a – b)2 = a2 – 2ab + b2 a2 – b2 = (a + b)(a – b) (x + a)(x + b) = x2 + (a + b) x + ab (a + b + c)2 = a2 + b2 + c2 + 2ab + 2bc + 2ca (a + b)3 = a3 + b3 + 3ab (a + b) (a – b)3 = a3 – b3 – 3ab (a – b) a3 + b3 + c3– 3abc = (a + b + c)(a2 + b2 + c2 – ab – bc – ca)