Basic Formulas in Algebra
`(a+b)^2=a^2+2ab+b^2`
`(a-b)^2=a^2-2ab+b^2`
`(a+b)(a-b)=a^2 - b^2`
`(a+b+c)^2=a^2+b^2+c^2+2ab+2bc+2ac`
`(a+b)^3=a^3+3a^2b+3ab^2+b^3`
`(a-b)^3=a^3-3a^2b+3ab^2-b^3`
`a^3+b^3=(a+b)(a^2-ab+b^2)`
`a^3-b^3=(a-b)(a^2+ab+b^2)`
`\frac{a+b}{c}=\frac{a}{c}+\frac{b}{c}`
Dividend = Quotient x Divisor + Remainder
Laws of Exponents
`1. a^m \cdot a^n=a^{m+n}`
`2. \frac{a^m}{a^n}=a^{m-n}`
`3. (a^m)^n=a^{mn}`
Logarithms Formulae
`y=\log {x} \rightarrow x=e^x `
`\log(mn)=\log{m}+\log{n}`
`\log(\frac{m}{n})=\log {m}+\log{n}`
`\log{(m)^n}=n\log{m}`
`\log_n(m)=\frac{\log m}{\log n}`
`\log_n(m)=\frac{1}{\log_m(n)}`
Quadratic Equation
The root of equation `ax^2+bx+c=0 ` where `a\ne 0 ` are given by
`x=\frac{- b\pm \sqrt{b^2-4ac} }{2a}`
0 Comments