SOLUTION: I need to multiply the fraction: 2x^2-x-3/3x^2+7x+4 * 3x^2-11x-20/4x^2-9 Please help!

Algebra.Com
Question 84078: I need to multiply the fraction: 2x^2-x-3/3x^2+7x+4 * 3x^2-11x-20/4x^2-9
Please help!

Answer by jim_thompson5910(35256)   (Show Source): You can put this solution on YOUR website!
Start with the given expression

Factor the first numerator
ERROR Algebra::Solver::Engine::invoke_solver_noengine: solver not defined for name 'quadratic_factoring'.
Error occurred executing solver 'quadratic_factoring' .


--------------------------------------------------------------------------------------------


Factor the first denominator
ERROR Algebra::Solver::Engine::invoke_solver_noengine: solver not defined for name 'quadratic_factoring'.
Error occurred executing solver 'quadratic_factoring' .


--------------------------------------------------------------------------------------------


Factor the second numerator
ERROR Algebra::Solver::Engine::invoke_solver_noengine: solver not defined for name 'quadratic_factoring'.
Error occurred executing solver 'quadratic_factoring' .


--------------------------------------------------------------------------------------------


Factor the second denominator
ERROR Algebra::Solver::Engine::invoke_solver_noengine: solver not defined for name 'quadratic_factoring'.
Error occurred executing solver 'quadratic_factoring' .


--------------------------------------------------------------------------------------------




So after factoring everything, we get:



Notice we have these common terms



They divide and cancel out


Leaving you with


which is our simplified answer



Now if you're required, multiply the remaining terms


Final Answer (if you are required to multiply them back together):


So basically the original expression



simplifies to this expression





Check:

Here's a way to check if you simplified it right. Simply graph the original expression
Original expression:




Graph of :


and graph the simplified expression

Simplified Expression:



Graph of :


and you'll notice that the two equations plot the same curve (if they were on the same graph, they would overlap each other). Since this shows that the two equations are equivalent, this verifies our answer.

RELATED QUESTIONS

Multiply the following fraction. 2x^2 – x -3 / 3x^2 + 7x + 4 * 3x^2 – 11x – 20 / 4x^2 (answered by rmromero)
I am having to multiply the fractions, please show me how to do this. 2x^2-x-3... (answered by Earlsdon,jim_thompson5910)
How do I multiply the following fraction? {{{((2x^2 - x - 3)/(3x^2+7x+4))*((3x^2 -... (answered by jake_6233)
How do I multiply the following fraction? 2x^2-x-3/3x^2+7x+4 *... (answered by Earlsdon)
multiply 2x^2 - x - 3/3x^2 + 7x + 4 . 3x^2 - 11x - 20/4x^2 -... (answered by jayanthihemkos@yahoo.com)
Multiply the fraction: 2x^2-x-3 3x^2-11x-20 -------- * -----------... (answered by funmath)
Multiply the following fractions. 2x^2 - x - 3 3x^2 - 11x - 20 ___________ .... (answered by sdmmadam@yahoo.com)
Multiply the following functions. {{{(2x^2 - x -3)/(3x^2 + 7x + 4) * (3x^2 - 11x -20) (answered by Earlsdon,bucky)
multiply the fractions:... (answered by Edwin McCravy)