1)
If x+y= 7/12 and x-y=1/12, what is the value of x^2-y^2? Express your answer as a common fraction.
2)
The expression 24x^2-19x-35 can be written as (Ax-5)(2Bx+C), where A, B, and C are positive numbers. Find AB-3C.
1) If x + y = 7/12 and x - y = 1/12 then x2 - y2 = (x + y)(x - y) = (7/12) x (1/12) = 7/144
2) 24x2 - 19x - 35 can be factored as (3x - 5)(8x + 7)
so A = 3 2B = 8 ---> B = 4 C = 7
and AB - 3C = (3)(4) - 3(7) = your answer.
+96 
