How do you simplify the difference #(4w^2- 4w- 8)- (2w^2 +3w- 6)#?

Answer 1

Kennedy Adams

#2w^2-7w-2#

Let's remember that #(4w^2-4w-8)-(2w^2+3w-6)# is the same as

#(4w^2-4w-8)-1(2w^2+3w-6)#

You now need to distribute the #-1#

#4w^2-4w-8-2w^2-3w+6#

Now combine like terms. (Same variable and same exponent.)

#2w^2-7w-2#

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Answer 2

Isaiah Anthony

To simplify the difference ( (4w^2 - 4w - 8) - (2w^2 + 3w - 6) ), you distribute the negative sign inside the second set of parentheses, which changes the signs of all terms inside. Then, you combine like terms:

( (4w^2 - 4w - 8) - (2w^2 + 3w - 6) )

( = 4w^2 - 4w - 8 - 2w^2 - 3w + 6 )

Now, combine like terms:

( = (4w^2 - 2w^2) + (-4w - 3w) + (-8 + 6) )

( = 2w^2 - 7w - 2 )

So, the simplified difference is ( 2w^2 - 7w - 2 ).

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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.