Algebra is a fundamental branch of mathematics that deals with symbols and the rules for manipulating those symbols. It provides a framework for solving mathematical expressions and equations, describing relationships between variables, and analyzing patterns and structures.
mathpi.net
Classes
Calculators
Algebra
{
"title": "Algebra",
"slug": "algebra",
"description": "Algebra is a fundamental branch of mathematics that deals with symbols and the rules for manipulating those symbols. It provides a framework for solving mathematical expressions and equations, describing relationships between variables, and analyzing patterns and structures.",
"linksHtml": "<div class=\"section\"><h2>Formulas</h2><a href=\"/algebra/algebra-formulas\">Algebra Formulas</a></div><div class=\"section\"><h2>Proofs</h2><a href=\"/algebra/proof-a-plus-b-whole-square\">Proof: <span class=\"formula\">(a+b)<sup>2</sup> = a<sup>2</sup> + 2ab + b<sup>2</sup></span></a><a href=\"/algebra/examples-a-plus-b-whole-square\">Examples: <span class=\"formula\">(a+b)<sup>2</sup> = a<sup>2</sup> + 2ab + b<sup>2</sup></span></a><a href=\"/algebra/proof-a-minus-b-whole-square\">Proof: <span class=\"formula\">(a-b)<sup>2</sup> = a<sup>2</sup> - 2ab + b<sup>2</sup></span></a><a href=\"/algebra/proof-a-square-minus-b-square\">Proof: <span class=\"formula\">a<sup>2</sup> - b<sup>2</sup> = (a+b)(a-b)</span></a><a href=\"/algebra/proof-a-square-plus-b-square\">Proof: <span class=\"formula\">a<sup>2</sup> + b<sup>2</sup> = (a+b)<sup>2</sup> - 2ab</span></a><a href=\"/algebra/proof-a-plus-b-plus-c-whole-square\">Proof: <span class=\"formula\">(a+b+c)<sup>2</sup> = a<sup>2</sup> + b<sup>2</sup> + c<sup>2</sup> + 2ab + 2bc + 2ca</span></a><a href=\"/algebra/proof-a-minus-b-minus-c-whole-square\">Proof: <span class=\"formula\">(a-b-c)<sup>2</sup> = a<sup>2</sup> + b<sup>2</sup> + c<sup>2</sup> - 2ab + 2bc - 2ca</span></a></div>"
}