Verified answer

(2m)²-25......(2m-5).(2m+5)

------------ = ----------------------- = 2m+5

2m-5...........(2m-5)

(a+b)²-4ab.....a²+2ab+b² -4ab

--------------- = ---------------------- =

2a-2b............2(a-b)

a²-2ab+b².....(a-b)²......a-b

-------------- = ---------- = --------

2(a-b)..........2(a-b).......2

x²+5x+6....(x+2).(x+3)......x+2

------------ = ----------------- = -------

2x²+6x......2x.(x+3)...........2x

a² - b² = (a + b)*(a - b)

((2m)² - 5²)/(2m - 5) = (2m + 5)*(2m - 5)/(2m - 5) = 2m + 5

((a + b)² - 4ab)/(2*(a - b)) = (a² + 2ab + b² - 4ab)/(2*(a - b)) =

(a² - 2ab + b²)/(2*(a - b) = (a - b)²/(2*(a - b) = (a - b)/2

(x² + 5x + 6)/(2x² + 6x) = (x + 2)*(x + 3)/(2x*(x + 3) = (x + 2)/2x

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