(a^2 - 2ab + b^2)/ (a + b)?
814891
a^2 - 2ab + b^2 = (a - b) ^2\n\nthen...\n\n(a - b)^2 / (a + b) = (a -b) (a - b) / (a + b)
884322
(x+2)/(x+2)(x+3)=\n1/x+3
827919
a = 0.5bc^2\n\n2a = bc^2\n\n2a/c^2 = b
966048
(3ab^2)(3ab)^2\n(3ab^2)(9a^2b^2)\n27a^3b^4
967876
1) 2a^3 - 13a^2b + 11ab^2 + 14b^3\n\n2) (2a-4b) (4a^2+8ab+16b^2)\n\n3)  (b-8)(b-1)=0\n      b=8   or    b=1\n\n4) 4m^3 - 26m^2 - 14m=0\n2m(2m^2 - 13m - 7)=0\n2m=0  or  2m^2 - 13m -7=0\nm=0  or    (2m+1)(m-7)=0\n                  m=-0.5   or  m=7\n\n so the final answer is m=0 and m=-0.5 and m=7
783870
7x^2+16x over (x-2)(x+2)(x+3)
353701
sqrt(a^2 + b^2) = a + b\nSquare each side.\n[sqrt(a^2 + b^2)]^2 = (a+b)^2\na^2 + b^2 = a^2 + 2ab + b^2\nSubtract a^2 and b^2 from each side\n0 = 2ab  \nDivide both sides by 2\n0 = ab\nEither a = 0 or b = 0 or both equal 0.\nAnswer: a=0 and b > 0, or a > 0 and b=0, or a=0 and b=0\na or b can never be negative(even it one of them is zero).\n\nIn general, the equation \nsqrt(a^2 + b^2) = a + b \nis false.  However, it is true for certain values of a and b.
708943
You have to complete the square.\n\ny = a(x^2 + b/a x) + c\ny = a(x^2 +b/a x + b^2/4a^2) + c - b^2/4a\ny = a(x + b/2a)^2 + (4ac - b^2)/4a\n\n[4ay - (4ac - b^2)]/4a = a(x + b/2a)^2\n[4ay - 4ac + b^2]/(4a^2) = (x + b/2a)^2\n\n+/- sqrt(4ay - 4ac + b^2)/2a = x + b/2a\n\nx = (-b +/- sqrt(4ay - 4ac + b^2))/2a
110508
(x^2+5) / (x^3+15-2x^2+1)^2\non [0,1]
825318
(a^2 -2ab + b^2) = (a-b)(a-b) = (a-b)^2\nYou cannot cancel anything, so \n(a^2 -2ab + b^2)/(a+b) does not simplify.\n\nYou may wish to write it as (a-b)^2 /(a+b)
635930
x+2/x-2 \n= (x^2 - 2x + 2)/x [BODMAS rule]\nSo Eric is correct.
828991
(a^2 -2ab + b^2) = (a-b)(a-b) = (a-b)^2\nYou cannot cancel anything, so \n(a^2 -2ab + b^2)/(a+b) does not simplify.\nYou cannot solve for anything because you do not have an equation.
165476
How about (a+c)/(b+d)  ? more interesting!!\n\nbtw this only work when a/b != c/d
1023705
2 + 2 / 2 =\n2 + 1 = 3
402319
ya it is a^2 +b ^2 +2abcos(c)
777394
factor out 4b\n\n4b(b-2)= 0\n\nb = 2, 0\n\ngoodluck ^_^
531417
(a+b)(b^6-ab^5+a^2b^4-a^3b^3+a^4b^2-a^5b+a^6)\nGood Night, and Good Luck!