SOLUTION: Simplify completely: x^4-16 over x^2+4 divided by x^2-7x-18 over 3x^2-15x+18

Question 133502: Simplify completely:

x^4-16 over x^2+4 divided by x^2-7x-18 over 3x^2-15x+18
Answer by checkley71(8403) (Show Source): You can put this solution on YOUR website!
(X^4-16)/(X^2+4)=(X^2+4)(X^2-4)/(X^2+4)=(X^2-4)=(X+2)(X-2)
(X^2-7X-18)/(3X^2-15X+18)=(X-9)(X+2)/(3X-9)(X-2)
NOW WE MULTIPLY (X^2+4) BY (3X-9)(X-2)/(X-9)(X+2)
(X+2)(X-2)(3X-9)(X-2)/(X-9)(X+2)=(X-2)3(X-3)(X-2)/(X-9)=3(X-2)^2(X-3)/(X-9)
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