Dr. J's Maths.com
Where the techniques of Maths
are explained in simple terms.

Factorisation - approaches to expressions with 4 terms.
Test Yourself 1.


 

Common factor with grouping in pairs. px - py - qx - qy
Answer.(x - y)(p - q).
 
  x2 + 3x + bx + 3b
Answer.(x + 3)(x + b).
 
  3x - 3xz + 3y - 3yz
Answer.3(x + y)(1 - z).
a3 + a2 - a - 1
Answer.(a2 - 1)(a - 1)
= (a + 1)(a - 1)2.
     
Factorise in pairs. . 7x - y +49x2 - y2
Answer.(7x - y)(1 + 7x + y).
 
  x2 - y2 + 2x + 2y
Answer.(x + y)(x - y + 2).
 
Quadratics and a single term. x2 - 6x - y2 + 9
Answer.(x - 3 + y)(x - 3 - y).
x2