Find answers to your questions and expand your knowledge with IDNLearn.com. Discover prompt and accurate responses from our experts, ensuring you get the information you need quickly.

Tutorial ExerciseMultiply.x²yAx2 + 2x - 8.хбу?x2 + 11x + 28Click here to begin!Need Help?Watch ItAdditional MaterialseBook

Sagot :

From the given problem :

[tex]\frac{x^2y^4}{x^2+11x+28}\times\frac{x^2+2x-8}{x^6y^3}[/tex]

x^2 + 11x + 28 can be factored as, you need to think of two numbers that has a product of 28 and a sum of 11. In this case it's 7 and 4 :

(x + 7)(x + 4)

and x^2 + 2x - 8 can be factored as, you need to think of two numbers that has a product of -8 and a sum of 2. In this case it's 4 and -2 :

(x + 4)(x - 2)

So the expression will be :

[tex]\frac{x^2y^4}{(x+7)(x+4)}\times\frac{(x+4)(x-2)}{x^6y^3}[/tex]

The term (x+4) will be cancelled out

[tex]\frac{x^2y^4(x-2)}{x^6y^3(x+7)}[/tex]

Simplify further and the answer is :

[tex]\frac{y(x-2)}{x^4(x+7)}[/tex]

Thank you for using this platform to share and learn. Keep asking and answering. We appreciate every contribution you make. IDNLearn.com has the solutions you’re looking for. Thanks for visiting, and see you next time for more reliable information.