How do you combine w+8w−4+w−4w+8?

1 Answer
ceenik
Apr 25, 2017

2(w2+4w+40)(w−4)(w+8)

Explanation:

w+8w−4+w−4w+8

First, give both fractions common denominators by multiplying their denominators with each other [Whatever we do to the denominator we must also do to the numerator]

(w+8w−4)(w+8w+8) + (w−4w+8)(w−4w−4)

(w+8)2(w−4)(w+8)+(w−4)2(w−4)(w+8)

(w2+16w+64)(w−4)(w+8)+(w2−8w+16)(w−4)(w+8)

w2+16w+64+w2−8w+16(w−4)(w+8)

Add and subtract common terms

2w2+8w+80(w−4)(w+8)

Factor 2 out of the numerator

2(w2+4w+40)(w−4)(w+8)

Related questions
Impact of this question
1060 views around the world
You can reuse this answer
Creative Commons License