Factorising and solving

Question 1

What is the difference of two squares?

Answer 1

(a+b)(a-b)
a^2-b^2

Question 2

How do you factorise into single brackets?

Answer 2

Find the common letters/multiples and put them outside the brackets, then write the remaiining terms in the brackets

Question 3

How do you factorise into double brackets when the coefficient of x=1?

Answer 3

There should be three terms. x^2 ?x and ? and ? (and the question marks can be different numbers). The term with the x needs to be able to be added to by the terms, and the number on its own needs to be multiplied to by. Find a pair of numbers that fit this criteria and put in a double bracket with x at the start of each.