Question

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

Answer 1

Answer:

900 - 1= (31)(29)

Step-by-step explanation:

We need to factor 900 -1

We write each number in square form

900 can be written as 30^2

1 can be written as 1^2

$900 - 1= 30^2 - 1^2$

Now we apply difference of square formula

a^2 - b^2 = (a+b)(a-b)

$30^2 - 1^2=(30+1)(30-1)$

So 900 - 1= (31)(29)

Answer 2

The answer is 31 and 29.