What is the simplified form of the expression?
Start Fraction 5 left-parenthesis 14 minus 2 right-parenthesis squared over 2 End Fraction
(1 point)
Responses
60
60
30
30
72
72
360
AAAaannndd the bot gets it wrong yet again!
5(14-2)^2/2 = 5*12^2/2 = 5*144/2 = 5*72 = 360
But judging from the annoying way the question was asked, I'd think they wanted
three hundred sixty
My apologies. You are correct.
The simplified form of the expression is indeed 360.
To simplify the expression Start Fraction 5 left-parenthesis 14 minus 2 right-parenthesis squared over 2 End Fraction, we first need to evaluate the expression inside the parentheses.
Start by subtracting 2 from 14:
14 - 2 = 12
Next, square the result:
12^2 = 144
Now we can substitute the result back into the expression and simplify further:
Start Fraction 5 (144) over 2 End Fraction
Simplifying the fraction by dividing both the numerator and denominator by 2:
Start Fraction 5 (72) over 1 End Fraction
Therefore, the simplified form of the expression is 5 times 72, which is equal to 360.
So the answer is 360.