math
posted by Jenny .
To square 75, one can multiply (70)(80) and add 25 to that product. Can someone explain how this would work, without calculating?

since a^2b^2 = (ab)(a+b)
a^2 = (ab)(a+b)+b^2
75^2 = (755)(75+5)+5^2 = (70)(80)+25
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