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

Answer:

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

Step-by-step 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 $900-1=(29)(31)$.