Question

How do you factor the trinomial `x^2-6/5x+9/25`?

Answer 1

`x^2-6/5x+9/25=(x-3/5)^2`

Explanation:

As `9/25` is the square of `3/5` and middle term `6/5` is double of this number, (compare it with `(x-a)^2=x^2-2ax+a^2`)

`x^2-6/5x+9/25` is a complete square.

`x^2-6/5x+9/25`

= `x^2-2xx3/5xx x+(3/5)^2`

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