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How do you simplify #(-5x^4 + X^2) - (x^3 + 8x^2 - x)#?

Answer 1

Isaiah Anthony

Distribute the #-1# to the term in the second set of parentheses. Group like terms in descending order and add.

Distribute the #-1# to the term in the second set of parentheses.

#(-5x^4+x^2)-(x^3+8x^2-x)# =

#-5x^4+x^2-x^3-8x^2+x#

Group like terms in descending order and add.

#-5x^4-x^3+(x^2-8x^2)+x# =

#-5x^4-x^3-7x^2+x#

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Answer 2

Kennedy Adams

To simplify the expression (-5x^4 + x^2) - (x^3 + 8x^2 - x):

Distribute the negative sign inside the parentheses.
Combine like terms by adding or subtracting the coefficients of the same degree variables.

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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.