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  • 24-03-2018
  • Mathematics
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Factor 18d^4 -45d^3 + 36x^2

Factor 18d4 45d3 36x2 class=

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Professor1994 Professor1994
  • 24-03-2018
18d^4-45d^3+36d^2
18=2(3)^2
45=5(3)^2
36=(2)^2*(3)^2
Number common factor (18, 45, 36)=(3)^2=9
Variable common factor: d^2
Common factor: 9d^2

9d^2 [18d^4 / (9d^2) - 45d^3 / (9d^2) + 36d^2 / (9d^2) ]=
9d^2 [2d^(4-2) - 5d^(3-2) + 4 ]=
9d^2 (2d^2-5d+4)

Answer: 9d^2 (2d^2-5d+4)
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