Evaluate the expression \(16a^2 - 4b\) when \(a = \frac{1}{4}\) and \(b = 6\).

I'm giving two answer because I'm unclear as to what you mean.
For Example: if you meant (16a)² minus 4b then my answer would be: #1. When a=1/4 and b=6 (16a)² minus 4b = (16 times 1/4)² minus 24. Now, (16 and 1/4)² cancel to 4² which equals 16. 16 minus 24 = -8.
#2. If you meant 16 times (1/4)² minus 24 then that changes everything! :) then it would be: 16 times 1/16 minus 24 = 1 minus 24 = -23.
So either -8 or -23 is my answer.
sorry if it's confusing. I'm new at this. And I hope I didn't make any mistakes.

Answered by ACME | 2024-06-10

so 16^2=256 so 256a^2-4b so 256 times 1/4 squared equals 256 times 1/16 which is equal to 16 and 4b if b=6 so 4b=24 so 16-24=-8

Answered by apologiabiology | 2024-06-10

When evaluating the expression 16 a 2 − 4 b at a = 4 1 ​ and b = 6 , the result is − 23 . This is calculated by substituting the values and simplifying the expression step-by-step.
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Answered by ACME | 2024-12-26