Question
Divide and Check
4x^4y-8x^6y^2+12x^8y^6
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4x^4y
4x^4y-8x^6y^2+12x^8y^6
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4x^4y
Answers
Henry
When dividing fractions, we divide the
coefficients and subtract the exponents in the denominator from those
in the numerator.
4X^4y/4X^4y - 8X^6y^2/4X^4y + 12X^8y^6/4X^4y =
1 - 2X^(6y^2-4y) + 3X^(8y^6-4y)
Factor the exponents of each term:
1 - 2X^2y(3y-2) + 3X^4y(2y^5-1).
coefficients and subtract the exponents in the denominator from those
in the numerator.
4X^4y/4X^4y - 8X^6y^2/4X^4y + 12X^8y^6/4X^4y =
1 - 2X^(6y^2-4y) + 3X^(8y^6-4y)
Factor the exponents of each term:
1 - 2X^2y(3y-2) + 3X^4y(2y^5-1).