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# Simplify completely the quantity of x squared minus 15 x plus 36 all over 5 x minus 60?

We will use the concept of factorization of quadratic equations in order to find the required answer.

## Answer: x minus 3 over 5 or (x-3)/5 is the completely simplified quantity of x squared minus 15 x plus 36 all over 5 x minus 60

let's get the solution step by step.

**Explanation**:

Given:

x square minus 15 x plus 36 all over 5 x minus 60.

it can mathematically be written as,

(x^{2}-15x+36) / (5x-60)

Let's simplify it further,

First of all factorise the quadratic equation (x^{2}-15x+36)

(x^{2}-15x+36) = (x-12)(x-3)

So, substituting back in the above equation, we get,

[(x-12)(x-3)] / 5 (x-12)

= (x-3)/5 (since, x-12 is common)

### Hence, x minus 3 over 5 or (x-3)/5 is the completely simplified quantity of x squared minus 15 x plus 36 all over 5 x minus 60

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