Factorisation

Question 1

How to factorize using HCF Method?

Answer 1

Use a common factor of both numbers to divide each number.
Eg. 2a+a
a(2+1)

Question 2

How to factorize using the difference of two squares?

Answer 2

Find the square root of both number than write two equations, one positive the other negative.
Eg. 9x^2-64
(3x)^2-(8)^2
(3x-8)(3x+8)

Question 3

How to factorize using the AC method?

Answer 3

Using the coefficient of a(ax^2) multiply it by c. Find the factors of the result that when added will give b.
Eg x^2-5x+4
 AC:1*4=4
-1x -4x--> 5x
(x^2-1x)-(4x+4)
x(x-1)-4(x-1)
(x-4)(x-1)