Vedic Mathematics Course (Advanced Level)

Explore algebra with Vedic math by treating polynomials as sums of terms, identifying coefficients and degrees, and arranging them by decreasing power, to support dividing polynomials.

Learn to divide a polynomial by another using vedic math, without long division, by understanding the dividend, divisor, and deviser concepts, filling missing terms, and determining the quotient and remainder.

Learn how to divide a polynomial by a binomial when the coefficient of x is not one, using Vedic math techniques, coefficient adjustment, and remainder handling.

Practice dividing polynomials by higher-degree divisors using a step-by-step coefficient method, determine quotients and remainders, and handle missing terms across cubic and higher cases.

Learn to find the highest common factor using the Vedic math addition and subtraction technique, which eliminates the constant and highest-degree terms in polynomials.

Apply the highest common factor method using addition and subtraction to eliminate constants, align degrees, and derive the HCF, such as x^2+2x+5.

Learn to multiply using the vertically and crosswise technique from Vedic mathematics, applying left-to-right and right-to-left methods to numbers and binomial expressions.

Master the Vedic math vertically and crosswise technique to multiply binomial expressions in a single line and apply it to polynomial expansions.

Learn a Vedic math technique to factor simple quadratics by splitting the x-coefficient into two numbers with matching ratios, then form two linear factors quickly.

Learn to factor simple quadratics using vedic maths by splitting coefficients into two numbers to maintain a ratio, producing the two factors quickly.

Learn to factor homogeneous expressions of the second degree in multiple variables using Vedic math, by zeroing variables, splitting terms to maintain coefficient ratios, and deriving two-factor forms.

Explore how to factor cubic polynomials quickly using vedic math, selecting three numbers whose product matches the constant and whose sum equals the x^2 coefficient, then determine zeros.

Apply Vedic maths to factor cubics with coefficient of x not one by dividing by constants and selecting three numbers whose sum and product fit, yielding factors like (x+1)(x-1)(3x).

Explore solving quadratics with calculus in Vedic mathematics, using derivatives and the quadratic formula, and applying the discriminant to obtain fast, exact solutions.

Learn to solve first special type quadratics with Vedic maths, using reciprocal relations and converting improper fractions to mixed forms for fast, two-solution results.

Discover the second special type of quadratics in Vedic maths, solved by sum of numerator and denominator zero for the first solution and by difference zero for the second.

Learn third special type of quadratic equations in vedic maths, rewriting as a ratio and using the sum of denominators to zero to obtain x = 0 and second root.

Master solving quadratic equations by factorization: form linear factors, set them to zero, and obtain two solutions through matching sum and product of numbers.

Learn to solve simultaneous equations using the cyclic method in Vedic Mathematics, computing x and y from coefficients and constants with a common denominator for a single-line solution.

Master simultaneous equations type two with vedic math by recognizing when the independent term ratio matches a coefficient ratio, yielding zero for the other variable.

Explore solving simultaneous equations with same coefficients and opposite signs using Vedic mathematics techniques of addition and subtraction. Practice mental math to quickly eliminate variables and solve three-equation systems.

Apply Vedic math techniques to solve simultaneous equations type 4 by addition and subtraction, converting coefficients to x+y and x-y forms to find x and y.

Master simple equations type 1 using a mental formula from vedic maths, applying transposition and the d minus b over e minus c rule for quick solutions.

Apply the product-of-independent-terms rule to simple equations, equate left and right products, and extract solutions such as x=0, x=-1, or x=-2.

Learn to solve simple equations of this type using a vertical cross multiplication shortcut. Apply the formula to quickly find x with crosswise products, division, and transposition through worked examples.

Explore simple equations type 1 by spotting a common factor and equating to zero; learn quick, graphical solutions and recognizable patterns in Vedic mathematics.

Apply the Vedic math technique for simple equations type 2 by equating the product of independent terms on both sides and canceling common factors to find x=0 and x=-1.

Explore simple type 3 equations in Vedic mathematics, solving when numerators match by equating the sum of denominators to zero, and recognizing common factors for quick solutions.

Explore solving simple equations with Vedic math type 4, using mental observation to identify linear forms, compare sums of numerators and denominators, and divide by common factors to find x.

Explore type five simple equations in Vedic mathematics, using samuccaya to identify quadratic forms from cross-multiplication comparisons, and derive two solutions by sums and differences of numerators and denominators.

Master quick simple equations using the Vedic math technique of matching numerators and equal sums of denominators, producing results like x = 8, 4, 0, or -4.

Learn how to solve simple equations type 7 with Vedic math by transforming fractions through adding and subtracting one, pairing numerators and denominators, and solving for x.

Learn to solve simple equations type 8 by equalizing the x coefficient in denominators through coordinated multiplications, transforming terms, and equating sums to find x.

Use vedic math to reveal simple linear equations in type 9, apply factoring and common factors, and derive x equals seven without expansion.

Learn how to decompose a rational expression into partial fractions using the traditional method and a fast substitution approach to quickly find the constants A and B.

Master partial fraction decomposition by dividing when the numerator degree meets the denominator, then determine constants via substitutions for linear, repeated, and quadratic factors.