Question

How do you factor `36x^2-60x+25`?

Answer 1

`=(6x-5)(6x-5)`

Explanation:

`36x^2-60x+25`
`=(6x)^2-2(6x)(5)+5^2`
`=(6x-5)^2`
`=(6x-5)(6x-5)`

Answer 2

`(6x - 5)^2`

Explanation:

since your `x^2` has a number in front of it, you will need to multiply that by 25 first. this gives you 900 so you now must find two numbers that add to `-60` and multiply to `900`. as luck would have it, `-30` jumps out as the answer. break down the equation accordingly and factor from there.

`36x^2 - 60x + 25`

`36x^2 - 30x - 30x + 25`

factor the frist two variables and then the second two

`36x^2 - 30x - 30x + 25`

`6x(6x - 5) - 5(6x - 5)`

format with the numbers outside the brackets as one group and the leave the others as is.

`(6x - 5)(6x - 5)`

this is a perfect square, ergo

`(6x - 5)^2`