SOLUTION: {{{ ((5x^2+x-6) / (5x^2-12x-9)) / ((25x^2+45x+18)/(5x^2+33x+18)) }}} dividing the two rational expressions. a/b and c/d and then multiplying the first rational by the reciprocal

Algebra ->  Polynomials-and-rational-expressions -> SOLUTION: {{{ ((5x^2+x-6) / (5x^2-12x-9)) / ((25x^2+45x+18)/(5x^2+33x+18)) }}} dividing the two rational expressions. a/b and c/d and then multiplying the first rational by the reciprocal      Log On


   

Question 1067173:
dividing the two rational expressions. a/b and c/d and then multiplying the first rational by the reciprocal of the second I got +%28x-1%29%28x%2B6%29+%2F+%285x%2B3%29%28x-3%29+ but I don't know if this is correct?
Answer by Edwin McCravy(20060) About Me  (Show Source):
You can put this solution on YOUR website!
Do you have a TI-83 or TI-84 calculator.

They are great for checking.

Make up an arbitrary number like 5.2369

Type in 5.2369

Press STO ALPHA STO ENTER  (That stores 5.2369 as X)

Type in the original expression:

((5X²+X-9)/(5X²-12X-9))/((25X²+45X+18)/(5X²+33X+18))

Press ENTER

See .7292826861

Type in your answer:

((X-1)(X+6)/((5X+3)(X-3))

Press ENTER

See .7292826861

Since we got the same decimal, your answer is correct.

The most important use of a TI calculator is to check
problems like this.

Edwin