Factorise X 2 2x 1, Factorising is an important mathematical concept that involves breaking down an expression into, General, factorise-x-2-2x-1, Timnesia
Factorising is an important mathematical concept that involves breaking down an expression into simpler factors. One common expression that requires factorisation is X^2+2x+1. This expression can be factorised using a few simple steps.
To factorise X^2+2x+1, we need to look for two numbers that multiply to give us the constant term (in this case, 1) and add up to the coefficient of the middle term (in this case, 2). In other words, we need to find two numbers that satisfy the equation a*b = 1 and a+b = 2.
The two numbers that satisfy this equation are 1 and 1. Therefore, we can rewrite the expression as (X+1)(X+1), which is the same as (X+1)^2. This is the factorised form of X^2+2x+1.
In summary, to factorise X^2+2x+1, we need to look for two numbers that multiply to give us the constant term and add up to the coefficient of the middle term. In this case, the two numbers are 1 and 1, which gives us the factorised form of (X+1)^2. Understanding how to factorise expressions is an important skill in mathematics and can be applied in various fields such as algebra, calculus, and geometry.