product of two binomials having similar terms

Alternative Proof of Binomial Theorem for Positive Integral Index (Combinatorial Method). We have, (a + b) n = (a + b) (a + b) ....... n times. The terms on the RHS are obtained by taking one letter from each factor and multiplying them together. Choosing 'a' fr..

When the coefficient of the highest power is 1. i.e., ax 2 bx c, when a = 1 and b and c are integers. When two binomials are multiplied the product is a trinomial. Thus (x + 4) (x + 5) = x 2 + 9x + 20 (1) (x - 4) (x - 5) = x 2 ..

As a result of sustained research in agriculture, many high yielding varieties /hybrids have been released in our countries (India 2000). In rice, more than 600 high yielding, early maturing, dwarf disease resistant varieties have been evolved. Many rice hybrids such as ProAgro 6201, APRH - 2h..

/content/math/number-theory/polynomials/polynomialsindex.php'>polynomials as the product of two or more polynomials is called factorisation. If A = B x C, B and C are called factors of A. Methods of Factorisation: (i) Common factors (ii) By expressing as difference of squares (i..

Natural resources characteristically exhibit two features. They are: 1) Physical limitations 2) Limitations of regeneration / production. Natural physical resources like geophysical, hydro-geological, edaphic, atmospheric resources exhibit physical limitations. Such li..

Smallest unit of ecological hierarchy is the organism, while smallest and basic unit of taxonomic hierarchy is species. A group of individuals, having similar structural and functional characters, capable of potential interbreeding is termed as species. In nature all a..

Molecules having two equal and opposite charges separated by certain distance are said to possess an electric dipole. In the case of such polar molecules, the centre of negative charge does not coincide with the centre of positive charge. The extent of polarity in such covalent ..

The controlled combustion of fuel in the presence of air, gives an internal combustion engine its power. A low quality fuel does not burn smoothly and causes an occasional explosive sound, which is known as knocking. This greatly reduces the power of the engine. The quality of a fuel is indicated ..

The term 'natural resources' refers to all the natural things on our earth. It includes everything, that is naturally available and that is not creatable by any human activity. It specifically excludes the materials created by man. Human being and his anthropological history indicate that..

>If A, G, H are the A.M., G.M., H.M. respectively between non-zero positive numbers a and b, then (a) A, G, H are in G.P. (b) A>G>H. In particular, if a = b = c, then A = G = H. (i) A sequence is said to be an arithmeticco-geometric sequence if terms of the sequence are the pro..