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How do you simplify #(sqrta-4)(sqrta+4)#?

Answer 1

Eva Abramson

#a-16#

#(sqrta-4)(sqrta+4)#

Let's do each multiplication then add up the results:

#sqrtasqrta=a# #sqrta(4)=4sqrta# #(-4)sqrta=-4sqrta# #(-4)(4)=-16#

#a+4sqrta-4sqrta-16=a-16#

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Answer 2

Isaiah Anthony

To simplify the expression (sqrt(a-4))(sqrt(a+4)), we can use the property of square roots which states that the square root of a product is equal to the product of the square roots. Applying this property, we get sqrt((a-4)(a+4)). Simplifying further, we have sqrt(a^2 - 16). Therefore, the simplified expression is sqrt(a^2 - 16).

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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.