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(05.01) Simplify completely quantity 3 x squared plus 21 x minus 54 all over x squared plus 3 x minus 54.
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\[3x^2 + 21x - 54 \over x^2 + 3x - 54\]
3 open parentheses x minus 2 close parentheses over quantity x minus 6 7 x over x minus 1 1 10
3 is common from the numenators so it will be 3(x^2 +7x -18) ------------- x^2 +3x-54
|dw:1408213135792:dw| x^2+7x-18 x^2 + 9x -2x -18 x(x+9) -2 (x+9) (x-2)(x+9) so
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