Question

Which expression is equivalent to the expression below? m+3/m^2-16/m^2-9/m+4

Answer 1

The given expression is :
`(m+3)/(m^(2)-16). /(m^(2-9) )/(m+4)`

We can write the expressions in the form of difference of two squares and apply the formula
`a^(2)-b^(2)=` (a+b)(a-b)

Writing it as difference of two squares we have:

`(m+3)/((m+4)(m-4))/((m+3)(m-3))/(m+4)`

Converting division sign to multiplication the second fraction flips .Cancelling the common terms in numerator and denominator we have:

`(1)/((m-4)(m-3))`