Resources tagged with: Difference of two squares

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There are 9 NRICH Mathematical resources connected to Difference of two squares, you may find related items under Algebraic expressions, equations and formulae.

Broad Topics > Algebraic expressions, equations and formulae > Difference of two squares

Why 24?

Age 14 to 16
Challenge Level

Take any prime number greater than 3 , square it and subtract one. Working on the building blocks will help you to explain what is special about your results.

What's Possible?

Age 14 to 16
Challenge Level

Many numbers can be expressed as the difference of two perfect squares. What do you notice about the numbers you CANNOT make?

Plus Minus

Age 14 to 16
Challenge Level

Can you explain the surprising results Jo found when she calculated the difference between square numbers?

Odd Differences

Age 14 to 16
Challenge Level

The diagram illustrates the formula: 1 + 3 + 5 + ... + (2n - 1) = n² Use the diagram to show that any odd number is the difference of two squares.

2-digit Square

Age 14 to 16
Challenge Level

A 2-Digit number is squared. When this 2-digit number is reversed and squared, the difference between the squares is also a square. What is the 2-digit number?

Hollow Squares

Age 14 to 16
Challenge Level

Which armies can be arranged in hollow square fighting formations?

Particularly General

Age 16 to 18
Challenge Level

By proving these particular identities, prove the existence of general cases.

DOTS Division

Age 14 to 16
Challenge Level

Take any pair of two digit numbers x=ab and y=cd where, without loss of generality, ab > cd . Form two 4 digit numbers r=abcd and s=cdab and calculate: {r^2 - s^2} /{x^2 - y^2}.

Euler's Squares

Age 14 to 16
Challenge Level

Euler found four whole numbers such that the sum of any two of the numbers is a perfect square...