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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.

 Jan 20, 2020
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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. 

 Jan 20, 2020

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