Compute the squares of these numbers.

49

Compute the squares of these numbers.

98

Some natural numbers can be written as a difference of two perfect squares in two ways. For example.

24 = 7² – 5² = 5² – 1²

32 = 9² – 7² = 6² – 2²

40 = 11² – 9² = 7² – 3²

In how many different ways can we write multiples of 16, starting with 48 as the difference of two perfect squares?

Some natural numbers can be written as a difference of two perfect squares in two ways. For example.

24 = 7² – 5² = 5² – 1²

32 = 9² – 7² = 6² – 2²

40 = 11² – 9² = 7² – 3²

Explain using algebra, the method of writing all multiples of 8, starting with 24 as the difference of two perfect squares in two ways.

Compute the squares of these numbers.

9.25

Some natural numbers can be written as a difference of two perfect squares in two ways. For example.

24 = 7² – 5² = 5² – 1²

32 = 9² – 7² = 6² – 2²

40 = 11² – 9² = 7² – 3²

In how many different ways can we write multiples of 16, starting with 48 as the difference of two perfect squares?

Some natural numbers can be written as a difference of two perfect squares in two ways. For example.

24 = 7² – 5² = 5² – 1²

32 = 9² – 7² = 6² – 2²

40 = 11² – 9² = 7² – 3²

Explain using algebra, the method of writing all multiples of 8, starting with 24 as the difference of two perfect squares in two ways.

Compute the squares of these numbers.

9.25

Compute the squares of these numbers.

Look at this pattern:

Explain the general principal using algebra.

Look at this pattern:

Explain the general principal using algebra.