Buying ARM wouldn't help Intel, that's why.
I assume you ask this question because ARM is absolutely killing Intel on mobile CPUs. Worse, Intel has tried to get into that space and ARM has handed Intel its head more than once. So this is not a dumb question.
But ARM makes a trivially small amount per CPU manufactured, making it up on volume. Intel takes a large amount of both revenue and profit on each piece silicon that goes out. And you can see the result: Intel's market cap is still 5X ARM's ($160 Bn to 30 Bn).
As an individual investor ARM is (was -- assuming this buyout goes through) probably a better investment than Intel since Intel is struggling to find new markets to expand into, with most of its revenue coming from a dead end business (PCs) while ARM is being pulled by many people into new, growth businesses. But because of its business model, an ARM acquisition would dilute Intel's results (its margin would drop).
For smaller companies it's OK to "eat your own lunch." This was in fact Sun's principle (which didn't work out for them so well) and Apple's (which has, so far). But when you get to be huge, it's hard to move the needle in a way that appeals to investors. Look at Apple: they have a crummy iPad business that, were it standalone, would be one of the phenomenal businesses of the decade. But when mixed in with the rest of Apple, it's simply blah.
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Separately, I remain astonished that Intel killed its StrongARM business line. They definitely had the best ARM on the market and it played, I think, to their strengths. I think they were just afraid that it attacked their brand, which at the time was very expensive CPUs. But they could be dominating the mobile market now.