Question

Factor:9/100 x^2 - 4/25

Answer 1

`(9)/(100)x^2-(4)/(25)=((3)/(10)x-(2)/(5))((3)/(10)x+(2)/(5))`

Step-by-step explanation:

Given the expression:

`(9)/(100)x^2-(4)/(25)`

This can be written as a difference of two squares. But before that, we can rewrite the expression as:

`((3)/(10)x)^2-((2)/(5))^2`

So, as a different of two squares, we write:

`((3)/(10)x-(2)/(5))((3)/(10)x+(2)/(5))`