Question

find x
( a square - 5a+6 : a square +a-6 : :a square -9 : x)

Answer 1

a² - 5a + 6 : a² + a - 6 :: a² - 9 : x

Multiplying the exterior terms and equating with product of interior terms,

x(a² - 5a + 6) = (a² + a - 6)(a²-9)

x(a - 2)(a - 3) = (a + 3)(a - 2)(a - 3)(a + 3)

x = (a + 3)²

-WonderGirl