Can you help me please?

Question

 

 

    (   m²+2m+1       )  (m²   3m)

    (                          ) (     -     )

    (m³+3m²+3m+1 )  (m      3 )

 

Simplify The expression and solve the equation.

Answer 1

( m²+2m+1 ) (m² -3m)
________________________
(m³+3m²+3m+1 ) (m -3 )

 

in the above expression, (m² -3m) = m(m-3), therefore, we can cancel out the (m-3) from the numerator and denominator 

 

( m²+2m+1 ) m
__________________
(m³+3m²+3m+1 )

 

Note:

 

( m²+2m+1 ) = (m+1)²      

 

 

(m³+3m²+3m+1 ) = (m+1)³ 

 

 

Thus, the given equation is simplified as

 

m

______  = m/(m+1)

m+1