Factor the perfect square trinomial 25x^2-60x+36

Since it is a perfect square trinomial, it is of the form:

a^2x^2-2abx+b^2 which simplifies to (ax-b) ^2

Therefore:

sqrt (a) = sqrt (25) = 5

sqrt (b) = sqrt (36) = 6

Plug in a and b:

(ax-b) ^2

(5x-6) ^2

Test to make sure it did fit the formula:

-2abx=-60 (where x is 1)

-2 (5) (6) = -60

-2 (30) = -60

-60=-60

Answer:

(5x-6) ^2