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How do you simplify the expression #(16x^4y-12x^5y^3)/(2x^3y^2)#?

Answer 1

#(8x-6x^2y^2)/(y)#

You want to factor out everything possible from the expression in the numerator and denominator with the same value, and cancel out that value.

#(cancel(2x^3y)(8x - 6x^2y^2))/(cancel(2x^3y)(y))#

#(8x-6x^2y^2)/(y)#

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Answer 2

Avery Alexander

To simplify the expression (16x^4y-12x^5y^3)/(2x^3y^2), you can divide each term in the numerator by the denominator. This results in (8x^(4-3)y^(1-2)) - (6x^(5-3)y^(3-2)), which simplifies to 8xy^(-1) - 6x^2y.

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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.