Algebraic Formulas
Algebra
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)2 .
» 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 .
[Algebra, Algebra Formula, Square, Cube, Square formula, Cube formula]
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Tommorows exam but I ain’t worried. Haven’t touch books in this year thou 🤫🧏🏻♂️