Question

Each blank should be filled with a single whole number greater than 1. Factor: 900 - 1 = ( )( )

Answer 1

One example would be 900-1=(29)(31)

Answer 2

`900-1=(29)(31)`

Explanation:

We are asked to factor 900-1.

We will use difference of squares
`a^2-b^2=(a-b)(a+b)` to factor our given expression.

We can write 900 as
`30^2` and 1 as
`1^2`.

Upon substituting these values, we will get:

`900-1=30^2-1^2`

Using difference of squares:

`900-1=(30-1)(30+1)`

`900-1=(29)(31)`

Therefore, factored form of our given numbers would be
`900-1=(29)(31)`.