A) Factor the numerator and denominator? y x = \frac{ {x}^(2) - 25}{2 {x}^(2) + 13x + 15} ​

Question

A) Factor the numerator and denominator?


`y x = \frac{ {x}^(2) - 25}{2 {x}^(2) + 13x + 15}`
​

Answer 1

(x+5)(x-5)
—————
(2x+3)(x+5)

Explanation:
Numerator: a^2 - b^2 = (a+b)(a-b) in this case a = x and b = 5
Denominator: a times c (2 times 15 equals) 30, b is equal to 13... we must find numbers that goes equals both of these, we will use 10 and 3. 10 times 3 equals 30 and 10 plus 3 equals 13. Therefore we get 2x^2 + 10x +3x +15 which goes to 2x(x+5) + 3(x+5) which then goes to (2x+3) + (x+5)