Factorise

=**Factoring And Expanding**=

Factorise 4//x// + 6. The first stage is to find break up 4//x// and 6 into factors, so that you can find everything that goes into both 4//x// and 6. In this case **2** is the highest factor of both 4//x// and 6, so **2** will go outside the brackets. The remaining factors of each term are left inside the brackets, where they are recombined. We can check the answer by multiplying out the brackets: **2(2//x//+3) = 4//x//+6**
 * Example Question 1**

Now try these practice questions.

Factorise: Factorise: Factorise: Factorise:
 * (a) || 2//x// + 4 ||
 * (b) || 5//x// + 15 ||
 * (c) || 6//x// + 18 ||
 * (d) || 5//x// - 25 ||
 * (e) || 3//x// - 21 ||
 * (f) || 7//x// + 35 ||
 * (g) || 9//x// - 12 ||
 * (h) || 15//x// + 20 ||
 * (i) || 42//x// + 15 ||
 * Question 2**
 * (a) || 3//x//² + //2x// ||
 * (b) || 5//x//² + 10//x// ||
 * (c) || 6//x// - 3//x//² ||
 * (d) || 6//x//² - 4//x// ||
 * (e) || 21//x//² + 14//x// ||
 * (f) || 15//x// - 25//x//² ||
 * Question 3**
 * (a) || //xy// + //xz// ||
 * (b) || //xyz// + 3//yz// ||
 * (c) || 4//pq// - 8//qr// ||
 * (d) || 5//xyz// + 20//uxy// ||
 * (e) || 5//xy// - 4//py// ||
 * (f) || 7//xy// + 12//xz// ||
 * Question 4**
 * (a) || //x//²//y// + //xy//² ||
 * (b) || 5//x//²//y// - 35//xy// ||
 * (c) || 22//xy// + 4//xy//² ||
 * (d) || //x//²//yz// + //xy//²//z// ||
 * Question 5**
 * (a) || 3//x// + 9//y// + 18//z// ||
 * (b) || 4//x//² + 2//x// + 8//xy// ||
 * (c) || 6//x// - 3//xy// + 12//xz// ||
 * (d) || 5//xz// + 20//x// - 35//xy// ||
 * (e) || 7//x//² + 14//xy// - 21//xyz// ||
 * (f) || 4//x// + 6//xz// + 15//xy// ||

For Answers click here