It depends what we mean by "better". Certainly 60X zoom gives much greater image magnification, but this can be of limited usefulness for photographic purposes as image quality is often sacrificed to provide the extra focal length. This is especially true towards the more affordable end of the market. In addition, zoom lenses don't just magnify the viewed/recorded image, they also magnify any trace of "camera shake" by the same amount. It is notoriously difficult to hand-hold lenses of very long focal length steady enough to provide decent images, and even a tripod mounted device will be prone to wind or floor vibrations. Broadly, for professional purposes and with a large budget, a 60X optical zoom is more versatile than 25X, but unless you really need and can afford the extra "pulling power" you might be better off with a 25X zoom, which still offers a very respectable magnification.
25x + 35x + 9 is 60x + 9, which factors to 3(20x + 3)
The total magnification would be 10x (ocular lens) multiplied by 25x (objective lens), which equals 250x magnification.
12 quarters and 6 dimes 2(.25x) + .10x = 3.60 50x + 10x = 360 60x = 360 x = 6
60x = 25r (60x)/60 = (25r)/60 x = 0.4167r
Although I'm not familiar with the Nikon P900 system, adding a camera to a telescope is usually an enhancement. The only downside would be if you are trying to exceed the usable magnification of the overall system. Despite manufacturers claims of high magnification (for sales purposes), no telescope is much good above 100 power, and excellent images are usually achieved around 60x. High magnification means magnifying the atmospheric and optical defects as well as the image you want.
LCM(5x, 12x) = 60x
Px equals -0.6 plus 60x-1500
362+60x+25 (6x+5)(6x+5)
4x^2 = 16x 16x - 60x = -44x -44x + 225
60x=50 -> x=50/60 -> x=5/6 Verify: 60x=50 -> 60 x 5/6=50 -> 50=50 Hence Verified.
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The GCF is 20x.