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Home » How many positive 3-digit numbers are divisible by 12? - Carbonext

How many positive 3-digit numbers are divisible by 12? - Carbonext

📅 February 26, 2026 👤 scraface

Feb 26, 2026

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Substitute $ d = 2 $ into the first equation:
3a - 3(2) = 12 \Rightarrow 3a - 6 = 12 \Rightarrow 3a = 18 \Rightarrow...
Now compute the sum of all six terms:
oxed{42}
Question: Factor the expression $ x^4 - 16y^4 + 8x^2 + 64 $.
Solution: Group the expression:
x^4 - 16y^4 + 8x^2 + 64 = (x^4 + 8x^2 + 16) - (16y^4 - 64)
Note that $ x^4 + 8x^2 + 16 = (x^2 + 4)^2 $ and $ 16y^4 - 64 = 16(y^4...
Let $ A = x^2 + 4 $, $ B = y^2 + 2 $, and $ C = y^2 - 2 $, then:
A^2 - 16BC = (A - 4\sqrt{BC})(A + 4\sqrt{BC})

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