Algebra ( बीजगणित),iti 2nd year ke trainee ke liye , उन सभी बच्चों के लिए जिनको बीजगणित पढ़ना है скачать в хорошем качестве

Algebra ( बीजगणित),iti 2nd year ke trainee ke liye , उन सभी बच्चों के लिए जिनको बीजगणित पढ़ना है

Algebra ( बीजगणित),iti 2nd year ke trainee ke liye , उन सभी बच्चों के लिए जिनको बीजगणित पढ़ना है #chemistry #maths #edu #distance #science #friction #class10thboylesl aw #unit #charleslaw #class10th #algebra Algebra formulas are rules or identities that simplify expressions and solve equations, with key examples including binomial squares like \((a+b)^{2}=a^{2}+2ab+b^{2}\), difference of squares \(a^{2}-b^{2}=(a-b)(a+b)\), and the quadratic formula \(x=\frac{-b\pm \sqrt{b^{2}-4ac}}{2a}\) for \(ax^{2}+bx+c=0\), alongside laws of exponents such as \((a^{m})(a^{n})=a^{m+n}\) and formulas for factoring sums/differences of cubes like \(a^{3}+b^{3}=(a+b)(a^{2}-ab+b^{2})\). These expressions use variables (letters) and constants to show relationships in mathematics. Common Algebraic Identities (Binomials) Square of a Sum: \((a+b)^{2}=a^{2}+2ab+b^{2}\)Square of a Difference: \((a-b)^{2}=a^{2}-2ab+b^{2}\)Difference of Squares: \(a^{2}-b^{2}=(a-b)(a+b)\)Square of a Trinomial: \((a+b+c)^{2}=a^{2}+b^{2}+c^{2}+2ab+2bc+2ca\) Formulas for Cubes & Factoring Sum of Cubes: \(a^{3}+b^{3}=(a+b)(a^{2}-ab+b^{2})\)Difference of Cubes: \(a^{3}-b^{3}=(a-b)(a^{2}+ab+b^{2})\)Cube of a Sum: \((a+b)^{3}=a^{3}+3a^{2}b+3ab^{2}+b^{3}\) (or \(a^{3}+b^{3}+3ab(a+b)\))Cube of a Difference: \((a-b)^{3}=a^{3}-3a^{2}b+3ab^{2}-b^{3}\) (or \(a^{3}-b^{3}-3ab(a-b)\)) Quadratic Equation Standard Form: \(ax^{2}+bx+c=0\)Quadratic Formula (for roots \(x\)): \(x=\frac{-b\pm \sqrt{b^{2}-4ac}}{2a}\) Laws of Exponents & Radicals \((a^{m})(a^{n})=a^{m+n}\)\((ab)^{m}=a^{m}b^{m}\)\((a^{m})^{n}=a^{mn}\)\(a^{0}=1\) (for \(a
e 0\))\(a^{-m}=\frac{1}{a^{m}}\)