Rosepumphroo Rosepumphroo
  • 21-11-2016
  • Mathematics
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Dividing polynomials...
(16x^2-25y^2)divided by (4x+5y)...Please explain your answer... ...?

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scme1702
scme1702 scme1702
  • 22-11-2016
Long division of polynomials is the same as that of integers.
We find the number that we can multiply (4x + 5y) by to obtain the given polynomial. This is (4x - 5y).
Moreover, this is visible from the fact that
(16x² - 25y²) satisfies the identity:
(a² - b²) = (a + b)(a - b); where a = 4x and b = 5y
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