SOLUTION: Q1= if 3 a^2 = b^2 (≠) 0 , then the value of [(a+b)^3-(a-b)^3]/[(a+b)^2+(a-b)^2]

Algebra.Com
Question 926191: Q1= if 3 a^2 = b^2 (≠) 0 , then the value of
[(a+b)^3-(a-b)^3]/[(a+b)^2+(a-b)^2]
Answer by Edwin McCravy(20056)   (Show Source): You can put this solution on YOUR website!


Factor the numerator as the difference of two cubes.
Square out the terms in the denominator



Continue simplifying:









or



Now since 

We can either give the final answer in terms of either a or b.

If we substitute  for  and thus  for ,

in

, we get:











  <--- that is the answer in terms of b

Ifyou want the answer in terms of a, solve for b







Then   becomes

   <--- that is the answer in terms of a

Edwin
RELATED QUESTIONS

Q1= if 3 a^2 = b^2 (≠) 0 , then the value of (a+b/)^3 - (a-b)^3 / (a+b)^2... (answered by Edwin McCravy)
If a^2 ≠ b^2 then (a^2 - b^2)/(b^2 -a^2) + (a - b)/(b - a) = a a - b /a + b... (answered by JimboP1977)
If (a^2 b^2)^3=(a^3 b^3)^2,then a/b... (answered by Fombitz)
If a#b=a/b+b/a what is the value of... (answered by jim_thompson5910)
If a^2-b^=5 and a^3+b^3=35 then what is the value of a and... (answered by Fombitz)
if a^3+b^3=0 then value of log(a+b)-1\2(loga+logb+... (answered by ikleyn)
What are the values of a and b, if any, where a|b - 2| < 0 ? A. a < 0 and b ≠ 2 (answered by JBarnum)
If a+b=6/3 and ab=4/3 ,then find the value of a/b+b/a+2[1/a... (answered by josgarithmetic,ikleyn)
If (a-b)^2 - 3(a-b) -18 = 0, find the value of a - b - 8 if a - b - 6 is not equal to... (answered by ikleyn)