Factorization/Expansion

Here are some formulas that are commonly used in solving algebra questions.

Note that the equations below can work vice versa.

Square of binomials :

To square a binomial, you square the first term, take twice the product of the two terms and take the square of the second term.

Difference of two squares :

A formula easy to remember, when you see that both the terms are squares, and the sign is a minus, this formula can be applied to solve the equation.

Sum and  Difference of two cubes.

These formulas are applied when both the terms are cubes.

Square of trinomials.

To square a trinomial, firstly, take the sum of the square of all three terms, also sum up twice the value of ab, ac and bc respectively.

Cube of trinomials.

To cube a trinomial, firstly take the sum of the cubes of all three terms, also sum up thrice the value of (a+b)(b+c)(a+c).

For those who want to learn more, below are some formulas that are useful in the future :

1) 

2) 

3) 

4) 

5) 

6) 

For positive integer n,

When n is an odd positive integer,

Cheers,
etzhky =)

 

P.S. you might want to try this:

1)  , using basic formulae :D

2) Simplify