Spot a square number or a cube number using prime factors
The prime factors of 144 are:
These factors can be grouped as:
In other words:
Which confirms that 144 is a square number.
Your turn – use prime factors to create a square number. Check it out using the key on your calculator!
Extend the principle to cube numbers!
Multiply any degree by any degree Expanding brackets for polynomials in general
Multiply several brackets Expanding brackets more than two
Kuta software worksheet: Multiplying polynomials (see page 2)
Geometry problems – what do you notice? Geometry Problems with Quadratic Expressions notice
Geometry problems – questions attached Geometry Problems with Quadratic Expressions
Spot a trinomial that is a perfect square
These perfect squares factor as follows:
Choose your own values of a, b, and create some of your own.
Spot a trinomial that is the difference of two squares
Any trinomial of the form:
is called the difference of two squares. You can confirm that it factors as:
These differences of two squares factor as follows:
Factor a trinomial where . Read the link to find the various approaches to a trinomial of the form:
sum of two cubes
difference of two cubes