# Resources tagged with: Identities

### There are 4 results

Broad Topics >

Algebraic expressions, equations and formulae > Identities

##### Age 16 to 18 Challenge Level:

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

##### Age 16 to 18 Challenge Level:

By considering powers of (1+x), show that the sum of the squares of
the binomial coefficients from 0 to n is 2nCn

##### Age 14 to 18

Some diagrammatic 'proofs' of algebraic identities and inequalities.

##### Age 16 to 18 Challenge Level:

Use the fact that: x²-y² = (x-y)(x+y) and x³+y³
= (x+y) (x²-xy+y²) to find the highest power of 2 and the
highest power of 3 which divide 5^{36}-1.