# Algebraic Formulas

Algebra is a part of Mathematics which substitutes letters for numbers.  ‘x, y, a, b’ are the most commonly used letters which present the algebraic problems and solutions. A list of Algebraic Formulas for mathematics learners is mentioned below.

⇒ The formulas of the Couplet letters in Square:-

1. (a+b)2 = a2+2ab+b2
2. (a-b)2 = a2-2ab+b2
3. a2-b2 = (a+b)(a-b)
4. (x+a)(x+b) = x2 +(a+b)x+ab .

» Corollary/Hypothesis of Square:-

1. a2+b2 = (a+b)2 -2ab
2. a2+b2 = (a-b)2 +2ab
3. (a+b)2 = (a-b)2 +4ab
4. (a-b)2 = (a+b)2 -4ab
5. 2(a2+b2) = (a+b)2 + (a-b)2
6. 4ab = (a+b)2 – (a-b).

»The formulas of the Triple letters in Square:-

1. (a+b+c)2 = a2+b2+c2+2ab+2bc+2ca .

⇒ The formulas of the Couplet letters in Cube:-

1. (a+b)3 = a3+3a2b+3ab2+b3

= a3+b3+3ab(a+b) .

2. (a-b)3 = a3-3a2b+3ab2-b3

= a3-b3-3ab(a-b) .

»Corollary/Hypothesis of Cube:-

1. a3+b3 = (a+b)3-3ab(a+b)
2.  a3-b3 = (a-b)3+3ab(a-b) .

»The formulas of Triple letters in Cube:-

1. a3+b3+c3 = (a+b+c)(a2+b2+c2-ab-bc-ca)+3abc .

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[Algebra, Algebra Formula, Square, Cube,  Square formula, Cube formula]