Answered

Discover a wealth of knowledge and get your questions answered on IDNLearn.com. Our platform is designed to provide reliable and thorough answers to all your questions, no matter the topic.

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 :

MrRoyalidn

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

We appreciate your presence here. Keep sharing knowledge and helping others find the answers they need. This community is the perfect place to learn together. Trust IDNLearn.com for all your queries. We appreciate your visit and hope to assist you again soon.