Logarithmic Expressions are simplify by Rules or Laws of Logarithms and solve by inverse of exponentiation. It is expressed by using the abbreviation “log”. Because of different base of number log notation are also different. lg for base 10 , ln for base e . Logarithm quotient rule The logarithm of the division of x and y is the difference of logarithm of x […]
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Category: Algebra
Binomial Theorem
Binomial theorems is another ways of expansion of two terms. Another way it is generalised form of expansion. Due to expansion of two term it is binomial. “What are the binomial coefficients?” . It shows how to calculate the coefficients in the expansion of (a + b) n. The symbol for a binomial coefficient nCr. As well as pascal […]
Algebraic Fraction
This post about Algebraic fractions are a fraction whose numerator and denominator are algebraic expressions. Fractions in Algebra. We can add, subtract, multiply and divide fractions in algebra in the same way we do in simple arithmetic. Adding Fractions. When adding or subtracting algebraic fractions, the first thing to do is to put them onto a common denominator (by cross multiplying). Therefore we solve by […]
Sequence-2
Sequence and series is arrangement of term in particular pattern. Mathematical structures using the convergence properties of sequences. In particular, sequences are the basic for series Sequence and series
Factorisation
Factorisation process we applied bracket to take common term out. Also we apply difference of square of variable. Hence we reduce no of terms in expression. Therefore factorisation and expansion are reverse process. Factorisation
Sequence
Arrangement of term in particular pattern is known as sequence. A series is simply adding the terms in a sequence. An arithmetic series involves adding the terms of an arithmetic sequence. Similarly when terms are in ratio and addition , sequence as well as series will be geometric. Also when ratio is less than one than geometric series will be convergent. […]
Logarithmic Expression
Solve the logarithmic equation. This problem involves the use of the symbol “ln” instead of “log” to mean logarithm. Logarithmic expression
Simultaneous Equation
The simultaneous equations are solve by the elimination. These equations are also solve by substitution as well as graphic method. Due to variable solution give coordinate. Simultaneous eq
Sigma notation
Sigma Notation. Σ This symbol (called Sigma) means “sum up”. I love Sigma, it is fun to use, and can do many clever things. So Σ means to sum things up Sigma notation
Parabola
Vertex of a parabola is at the ‘origin’ and the axis of symmetry is along the x or y-axis, then the equation of the parabola is the simplest. So that its vertex is (h,k) and its axis of symmetry is parallel to the x-axis, it has an equation of (y – k)2= 4p (x – […]
