Factor 9𝑥2−30𝑥+259x 2 −30x+25

The given expression is 9x^2 - 30x + 25.

Step 1: Identify the form of the expression. This is a quadratic expression in the form ax^2 + bx + c.

Step 2: Check if the expression is a perfect square trinomial. A perfect square trinomial is of the form (ax)^2 - 2abx + b^2, which can be factored into (ax - b)^2.

Step 3: In our case, a = 3x (since (3x)^2 = 9x^2), b = 5 (since 5^2 = 25), and 2ab = 23x5 = 30x.

Step 4: Since the expression fits the form of a perfect square trinomial, it can be factored into (3x - 5)^2.