Teya Salat


Home | News Update | English Language | Mathematics | Physics | Biology | Geography | Forum | About Us
Fast & Easy Contact??
08080092411 || Coming soon..


Maths Literacy - Ratios and Percentages
Sequences and series
estimating surds
rounding off
simplification of fractions
solving quadratic equations
word problems
standard form


Factorisation is the opposite process of expanding brackets. For example, expanding brackets would require 2(x+1) to be written as 2x+2. Factorisation would be to start with 2x+2 and to end up with 2(x +1).
The two expressions 2(x+1) and 2x+2 are equivalent; they have the same value for all values of x. COMMON FACTORS

Factorising based on common factors relies on there being factors common to all the terms. For example, 2x-6×2 can be factorised as follows:

Factorisation using a switch around in brackets
Factorise: 5(a-2)-b(2-a).


Use a ‘switch around’ strategy to find the common factor.

Notice that 2-a=-(a-2) 5(a-2)-b(2-a)=5(a-2)-[-b(a-2)] =5(a-2)+b(a-2) =(a-2)(5+b)
Difference of two squares
We have seen that (ax+b)(ax-b) can be expanded to a 2×2-b2 Therefore a2x2-b2 can be factorised as (ax+b)(ax-b)
For example, x2-16 can be written as x2-42 which is a difference of two squares. Therefore, the factors of x2-16 are (x-4) and (x+4). To spot a difference of two squares, look for expressions:

1). consisting of two terms;

2). with terms that have different signs (one positive, one negative);

3). with each term a perfect square.

For example: a2-1; 4×2-y2; -49+p4.
Latest Musics Updats
ping fast  my blog, website, or RSS feed for Free
Share Your Story With The World Part of Uzomedia site) site owned and manage by Uzomedia..