Factors and Products Formulas
$${(a + b)^2} = {a^2} + 2ab + {b^2}$$ $${(a – b)^2} = {a^2} – 2ab + {b^2}$$ $${(a +… Click here to read more
$${(a + b)^2} = {a^2} + 2ab + {b^2}$$ $${(a – b)^2} = {a^2} – 2ab + {b^2}$$ $${(a +… Click here to read more
1. If $$\frac{a}{b} = \frac{c}{d}$$ then $$ad = bc$$ 2. If $$\frac{a}{b} = \frac{c}{d}$$ then $$\frac{a}{c} = \frac{b}{d}$$ 3. If… Click here to read more
1. If $$p$$ is a positive integer and $$a \in \mathbb{R}$$, then $${a^p} = a \cdot a \cdot a \cdots… Click here to read more
1. $$y = {\log _a}x$$ if and only if $$x = {a^y}$$, $$x > 0$$ and $$y \in \mathbb{R}$$, $$a$$… Click here to read more
1. $${e^x} = 1 + x + \frac{{{x^2}}}{{2!}} + \frac{{{x^3}}}{{3!}} + \cdots $$ 2. $$\ln (1 + x) = x… Click here to read more
1. $$1 + 2 + 3 +\cdots + n = \frac{{n(n + 1)}}{2}$$ 2. $${1^2} + {2^2} + {3^2} +… Click here to read more
If $$\alpha $$ and $$\beta $$ are the roots of the Quadratic Equation $$a{x^2} + bx + c = 0$$,… Click here to read more
The $$nth$$ term $${a_n}$$ of the Arithmetic Progression (A.P) $$a,{\text{ }}a + d,{\text{ }}a + 2d, \ldots $$ is given… Click here to read more
Consider that $$a,b \in \mathbb{R}$$, then 1. $$\left| a \right| \geqslant 0$$ and $$\left| a \right| = 0 \Leftrightarrow a… Click here to read more
1. The factorial of $$n$$ is defined as $$n! = n \cdot (n – 1) \cdot (n – 2) \cdot… Click here to read more