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How do you multiply #(x^5+3)(x^5-3)#?

Answer 1

#x^10-9#

#(x^5 + 3)(x^5 - 3)# First multiply #x^5# by #x^5# to get #x^10# Second, multiply #x^5# by #-3# to get #-3(x^5)# Third,multiply #x^5# by #3# to get #3(x^5)# Last, multiply #3# by #-3# to get #-9# Add them all together to get #x^10-9#

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Answer 2

Avery Alexander

To multiply ( (x^5 + 3)(x^5 - 3) ), you can use the distributive property or the FOIL method.

Using the distributive property:

( x^5 ) times ( x^5 ) equals ( x^{10} ) ( x^5 ) times -3 equals -3( x^5 ) 3 times ( x^5 ) equals 3( x^5 ) 3 times -3 equals -9

Combine like terms:

( x^{10} - 3x^5 + 3x^5 - 9 )

The ( x^5 ) terms cancel out, leaving:

( x^{10} - 9 )

So, the result is ( x^{10} - 9 ).

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Answer 3

Ethan Adkins

To multiply ( (x^5 + 3) ) and ( (x^5 - 3) ), you can use the distributive property or the FOIL method. Let's use the distributive property here:

[ (x^5 + 3)(x^5 - 3) ] [ = x^5 \cdot x^5 - 3 \cdot x^5 + 3 \cdot x^5 - 3 \cdot 3 ] [ = x^{10} - 3x^5 + 3x^5 - 9 ]

Now, simplify the expression: [ = x^{10} - 9 ]

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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.