Click here to see more videos: https://alugha.com/FuseSchool In this video we’re going to look at how to simplify algebraic expressions. Before we get started on simplifying, a few things to remember: (1) we always use a use a curly x for the letter x in algebra. (2) We don’t really use the mul
In this video we’re going to look at how to expand double brackets. Once we know how to expand double brackets, we’ll also be able to expand triple brackets and so on, so we’ll have a look at a triple bracket example towards the end of this video. VISIT us at www.fuseschool.org, where all of our vi
Click here to see more videos: https://alugha.com/FuseSchool In this video we’re going to discover how to factorise quadratics. Quadratics are expressions with x² as the highest power. Expanding and factorising are opposites. Factorising means to put into brackets, and with quadratics it is usually
In this video we’re going to discover how to factorise quadratics that don’t have 1 as the coefficient of the x-squared term. These are called non-monic quadratics. VISIT us at www.fuseschool.org, where all of our videos are carefully organised into topics and specific orders, and to see what else
In algebra expanding brackets means to remove the brackets. In this video we’ll look at how to expand single brackets 2(3x - 4), and in another video we’ll discover how to expand double brackets (x - 5)(x + 3). Click here to see more videos: https://alugha.com/FuseSchool VISIT us at www.fuseschool
A surd is a square root which cannot be reduced to a whole number. Surds are irrational; they are decimals that never end and never repeat, so cannot be written as fractions. Leaving a number in it's surd form is easier and more accurate than writing and rounding the decimal places. We see surds
It is know as factorising in England and factoring in America. They mean to put an expression into brackets. We say it has been factorised. Numbers have factors, the factors of 6 are 1, 2, 3 and 6. Expressions can also have factors like this: 6x - 12 = 3(2x - 4). Factorising is the process of findin
In this Screnncast, only lines, arrows, rectangles and circles are drawn. A single tap on the display can help in certain situations and simplifies typing. Original: "Wolfgang Dukorn" Original: German. All translations in this video have been done by the alugha AI.
Dividing a polynomial by an integer or an expression is really just another way of simplifying. There isn’t actually anything new to learn: you just need to be able to simplify numbers (like 20/15 simplifies down to 4/3) and know how to divide with indices (when you divide with indices, you subtra
In this video we’re going to have a look at how to expand squared brackets. You should already know how to expand double brackets by multiplying each term in the first bracket, by each term in the second bracket and then simplifying. EXAMPLE: (x - 4)(x + 3) = x^2 - 4x + 3x - 12 = x^2 - x - 12. For
Click here to see more videos: https://alugha.com/FuseSchool How do we solve equations that involve fractions? Before we get started, I am assuming you already know how to solve equations by balancing: you must do the exact same thing to both sides. So lets have a look at how to solve equations inv
Click here to see more videos: https://alugha.com/FuseSchool In this video we discover what rationalising the denominator is and how to do it. The denominator is the bottom part of a fraction. Rationalising the denominator is when we move a root from the bottom - the denominator - to the top (the n
