Answered

Westonci.ca is the premier destination for reliable answers to your questions, provided by a community of experts. Get quick and reliable solutions to your questions from a community of seasoned experts on our user-friendly platform. Join our Q&A platform to connect with experts dedicated to providing accurate answers to your questions in various fields.

Which expression is equivalent to the expression below? startfraction m 3 over m squared minus 16 endfraction divided by startfraction m squared minus 9 over m 4 endfraction startfraction 1 over (m 4) (m 3) endfraction startfraction 1 over (m minus 4) (m minus 3) endfraction startfraction m minus 4 over m minus 3 endfraction startfraction m 3 over m 4 endfraction

Sagot :

MrRoyal

The equivalent expression of the product expression [tex]\frac{m^3}{m^2 - 16} \div \frac{m^2 - 9}{m^4}[/tex] is [tex]\frac{m^7}{(m - 4)(m + 4)(m - 3)(m + 4)}[/tex]

How to determine the equivalent expression?

The expression is given as:

[tex]\frac{m^3}{m^2 - 16} \div \frac{m^2 - 9}{m^4}[/tex]

Rewrite the expression as a product

[tex]\frac{m^3}{m^2 - 16} * \frac{m^4}{m^2 - 9}[/tex]

Evaluate the product

[tex]\frac{m^7}{(m^2 - 16)(m^2 - 9)}[/tex]

Rewrite the denominator as a difference of two squares

[tex]\frac{m^7}{(m - 4)(m + 4)(m - 3)(m + 4)}[/tex]

Hence, the equivalent expression of the product expression [tex]\frac{m^3}{m^2 - 16} \div \frac{m^2 - 9}{m^4}[/tex] is [tex]\frac{m^7}{(m - 4)(m + 4)(m - 3)(m + 4)}[/tex]

Read more about equivalent expressions at:

https://brainly.com/question/2972832

#SPJ4

Thank you for your visit. We are dedicated to helping you find the information you need, whenever you need it. Thank you for choosing our platform. We're dedicated to providing the best answers for all your questions. Visit us again. Discover more at Westonci.ca. Return for the latest expert answers and updates on various topics.