How do you divide and simplify #\frac { x - 1} { 3x - 6} \div \frac { x + 2} { x ^ { 2} - x - 2}#?
1 Answer
Apr 21, 2017
Keep the first term, change the operation, and flip the second term.
Explanation:
In order to divide...
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Flip the second term and switch the operator.
#(x-1 )/(3x-6) *(x^2 - x -2)/(x+2)# -
Simplify
In order to simplify...
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Multiply across the top and bottom rows of the expression.
#((x-1 )*(x^2 - x -2))/((3x-6)*(x+2))# -
Multiply the terms on the top with each other and the terms on the bottom with each other.
#(x^3 - 2x^2 - 3x +2)/(3x^2 -12)#
