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How do you simplify # x^5y + x^4y^2 - 3x^5y + 9x^4y^2 - 2x^4y^2#?

Answer 1

Savannah Anderson

Rearranging we can write #=(x^5y-3x^5y)+(x^4y^2+9x^4y^2-2x^4y^2)=-2x^5y+8x^4y^2#

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Answer 2

Eva Abramson

To simplify the expression (x^5y + x^4y^2 - 3x^5y + 9x^4y^2 - 2x^4y^2), we can combine like terms:

[x^5y - 3x^5y + x^4y^2 + 9x^4y^2 - 2x^4y^2]

Combine the terms with the same variables and exponents:

[x^5y - 3x^5y + x^4y^2 + 9x^4y^2 - 2x^4y^2 = (x^5y - 3x^5y) + (x^4y^2 + 9x^4y^2 - 2x^4y^2)]

[= -2x^5y + 8x^4y^2]

So, the simplified expression is (-2x^5y + 8x^4y^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.