How to simplify.

Question

(w^2 + 5kw + 4K^2)/(w^2+kw)

Answer 1

(w² + 5kw + 4k²) / (w² + wk)

(w + 4k)(w + k) / (w² + wk)          FOIL

(w + 4k)(w + k) / w(w + k)           factor common factor

 

Can you simplify?

Answer 2

The numerator and denominator can both be factored. 

 

[(w+4k)(w+k)]/[w(w+k)]

 

the w+k cancels. 

 

we are left w 

(w+4k)/w