give a definition about expansions

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 necessary. These expansions help us to avoid elab..

When pressure is applied on a gas, it contracts. Conversely, when pressure is released the gas expands. When the temperature is increased, the particles gain more energy, move faster and move away from each other. As a result the intermolecular attraction becomes less prominent. The volume of the ..

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..

Expansion in area of a Laminar surface due to heating is known as superficial expansion. Let a 1 = area of a surface t 1 = its initial temperature a 2 = area of the surface after heating t 2 = final temperature The coefficient of superficial expansion is defined..

Cubical Expansion - Increase in volume of a solid on heating is cubical expansion. Let V 1 = Initial volume at t 1 0 C V 2 = its volume at t 2 0 C (t 2 >t 1 ) Then increase in volume ' v' = v 2 -v 1 Increase in temperature ' t' = t 2 -t 1 The coefficient of cubical expan..

Expansion of Liquids - Liquids do not have a definite shape. They take the shape of the container. Thus, we can specify a liquid by its volume. Hence, we can speak of volume expansion only for liquids. Expansion of liquids is much greater than that of solids...

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..