## How do you factorise math equations?

To factorise an expression fully, take out the highest common factor (HCF) of all the terms. For example, is the HCF of 4 x 2 and as 2 is the biggest number that will divide into 4 and 6 and is the biggest variable that will divide into and .

## What are the 5 rules of factoring?

Factoring Rules

• x2 – (r + s)x + rs = (x – r)(x – s)
• x2 + 2ax + a2 = (x + a)2 and x2 – 2ax + a2 = (x – a)2
• Difference of squares: a2 – b2 = (a – b)(a + b)
• Difference of cubes: a3 – b3 = (a – b)(a2 + ab + b2)
• a4 – b4 = (a – b)(a3 + a2b + ab2 + b3) = (a – b) [ a2(a + b) + b2(a + b) ] = (a – b)(a + b)(a2 + b2)

What is the value of pi in fraction?

22/7
π is an irrational number, meaning that it cannot be written as the ratio of two integers. Fractions such as 22/7 and 355/113 are commonly used to approximate π, but no common fraction (ratio of whole numbers) can be its exact value.

### What are the factors of 314?

The complete list of factors for 314 are 1, 2, 157, and 314.

### What is the process of factorisation?

Factorisation is a method of breaking the arithmetic algebraic expressions into the product of their factors. If we multiply the factors again, then they will result in original expression.

What are the steps in factoring?

Step 1: Group the first two terms together and then the last two terms together. Step 2: Factor out a GCF from each separate binomial. Step 3: Factor out the common binomial. Note that if we multiply our answer out, we do get the original polynomial.

#### What is factorising equations?

Factorising equations describes the process of finding the factors. Essentially it is the reverse of expanding the brackets. Factors are simply numbers that are multiplied together to get another number. An example of this is shown below:

#### How do you factorise an expression?

To factorise an expression fully, take out the highest common factor (HCF) of all the terms. For example, (2x) is the HCF of (4x^2) and (6x) as 2 is the biggest number that will divide into 4 and 6 and (x) is the biggest variable that will divide into (x^2) and (x).

What is an example of a factorised answer?

A factorised answer will always contain a set of brackets. To factorise an expression fully, take out the highest common factor (HCF) of all the terms. For example, is the HCF of and as 2 is the biggest number that will divide into 4 and 6 and is the biggest variable that will divide into and .

## What is the first step in factorisation?

The first step of factorising an expression is to ‘take out’ any common factors which the terms have. So if you were asked to factorise x² + x, since x goes into both terms, you would write x (x + 1) .