Answer:
[tex]900-1=(29)(31)[/tex]
Step-by-step explanation:
We are asked to factor 900-1.
We will use difference of squares [tex]a^2-b^2=(a-b)(a+b)[/tex] to factor our given expression.
We can write 900 as [tex]30^2[/tex] and 1 as [tex]1^2[/tex].
Upon substituting these values, we will get:
[tex]900-1=30^2-1^2[/tex]
Using difference of squares:
[tex]900-1=(30-1)(30+1)[/tex]
[tex]900-1=(29)(31)[/tex]
Therefore, factored form of our given numbers would be [tex]900-1=(29)(31)[/tex].
