formula de expansions

In algebra we come across certain products very frequently. For e.g., (a + b) 2 , (a + b) 3 (a + b + c) 2 etc. These are nothing but products of binomials or trinomials. We derive the formulae for these products and apply them whenever necessary. These expansions help us to ..

Expansions - We shall discuss expansions of binomials and trinomi..

In algebra we come across certain products very frequently. For e.g., (a + b) 2 , (a + b) 3 (a + b + c) 2 etc. These are nothing but products of binomials or trinomials. We derive the formulae for these products and apply them whenever necessar..

Summary - (a + b) (a - b) = a 2 - b 2 (x + a) (x + b) = x 2 + (a + b)x + ab. (a + b) 3 = a 3 + b 3 + 3ab (a + b) = a 3 + 3a 2 b + 3ab 2 + b 3..

The volume of a solid increases on heating. This is known as cubical expansion. Let us now consider the three types of expansion in detai..

Expansion of Gases - Gases also expand on heating. Their volume expansion is very much greater than that of liquids. If a gas is heated at constant pressure, its volume increases and if a gas is heated at constant volume, its pressure increases due to expansion. Simila..

Gases also expand on heating. Their volume expansion is very much greater than that of liquids. If a gas is heated at constant pressure, its volume increases and if a gas is heated at constant volume, its pressure increases due to expansion. Similarly, if we have to study the va..

When a solid is in the form of a Lamina, its length and breadth increase on heating. Hence, its area also increases. This is known as superficial expansion. Area of Laminar body increases on heat..

Matter expands on heating, i.e., solids, liquids and gases expand on heating. Let us consider expansion of solids: Three types of expansions are considered in case of solids. This classification is done according to the shape of the solid..

Most materials expand when their temperatures increase. The railway tracks, need special joints and supports to allow for expansion. A completely filled and tightly capped bottle of water cracks when it is heated, but you can loosen the lid of a metal jar by running hot water over it. The..