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How do you evaluate #\frac { 6^ { 2} } { 6} - ( 4- 1) ^ { 2}#?

Answer 1

Everly Taylor

First the Parentheses, then the Exponents, but there's a shortcut in the first part.

#=(6xxcancel6)/cancel6-(3)^2#

#=6-9=-3#

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Answer 2

Benjamin Altschul

To evaluate ( \frac{6^2}{6} - (4 - 1)^2 ), follow the order of operations, which is parentheses, exponents, multiplication and division (from left to right), and addition and subtraction (from left to right).

First, solve the expression inside the parentheses: [ (4 - 1)^2 = (3)^2 = 9 ]

Next, evaluate ( \frac{6^2}{6} ): [ \frac{6^2}{6} = \frac{36}{6} = 6 ]

Now, substitute the values back into the expression: [ 6 - 9 ]

Finally, perform the subtraction: [ 6 - 9 = -3 ]

So, ( \frac{6^2}{6} - (4 - 1)^2 = -3 ).

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Answer from HIX Tutor

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.