Add, then simplify if possible. [w/(w^2+8w+16)] + [4/(w^2+12w+32)]

Question

[w/(w^2+8w+16)] + [4/(w^2+12w+32)]

Answer 1

[w/(w^2+8w+16)] + [4/(w^2+12w+32)]

=[w/(w^2+4w+4w+16)] + [4/(w^2+8w+4w+32)]

=[w/(w(w+4)+4(w+4))] + [4/(w(w+8)+4(w+8))]

=[w/(w+4)(w+4)] + [4/(w+4)(w+8)]

LCM=(w+4)(w+4)(w+8)

=[ w(w+8)+4(w+4)]/[(w+4)(w+4)(w+8)]

=[ w^2+8w+4w+16]/[(w+4)(w+4)(w+8)]

=[ (w+4)(w+8)]/[(w+4)(w+4)(w+8)]

=1/(w+4)

Answer 2

4w² – 8w – 4) – (8w² + 4w – 3)