Simplify the following:
35 w^2-(1715 w^2)/25-1225
The gcd of 1715 and 25 is 5, so 1715/25 = (5×343)/(5×5) = 5/5×343/5 = 343/5:
35 w^2-343/5 w^2-1225
Put each term in 35 w^2-(343 w^2)/5-1225 over the common denominator 5: 35 w^2-(343 w^2)/5-1225 = (175 w^2)/5-(343 w^2)/5-6125/5:
(175 w^2)/5-(343 w^2)/5-6125/5
(175 w^2)/5-(343 w^2)/5-6125/5 = (175 w^2-343 w^2-6125)/5:
(175 w^2-343 w^2-6125)/5
175 w^2-343 w^2 = -168 w^2:
(-168 w^2-6125)/5
Factor -7 out of -168 w^2-6125:
Answer: |
| -7 (24 w^2+875)/5
