find alltriples(a,b,c) such that a<_b_<c and a+b+c+ab+cb+ac=abc+1?
815598
a+b+ c+ab+cb+ac = abc + 1\nor a+b+c - abc = 1- ab-cb-ac\nor (a+b+c - abc)/(1-ab-bc-ac) = 1\n\nputting a = TAN A , b= tan B, c = tan C\n\nwe get LHS = tan(A+B+C) = 1\nor A+B+C = tan ^-1 = pi/4+npi\n\n chose any a and b then c can be chosen as\n\ntan^1(pi/4 - tan A - tan B)
562792
A=[1 2 3;3 4 5;7,8 9]\n\nA =\n\n     1     2     3\n     3     4     5\n     7     8     9\n\n\n>> B=(A([1 3],:))\n\nB =\n\n     1     2     3\n     7     8     9\n\n\n>> B=(A(:,[1 3]))\n\nB =\n\n     1     3\n     3     5\n     7     9\n\n\ngood luck i wish i could helped u
374296
First, simplify [a(b+c)=ab+ac]\n +8x -8 +3x = -8x\nSecond, combine like terms on each side [ax+bx=(a+b)x]\n +11x - 8 = -8x\nThird, isolate a variable [if a=b, then a+c = b+c]\n 19x - 8 = 0\n 19x = 8\nFourth, eliminate coefficient [if a=b, c =/= 0; a/c = b/c]\n x = 8/19\nFinally, evaluate.\n 8([8/19]-1) + 3(8/19) = -8(8/19)\n 8(-11/19) + (24/19) = -64/19\n -88/19 + 24/19 = -64/19\n True
905618
(A) 3+2(x-1)\n\n3+2x+2\n2x+5\n\n(B) 5-2(x+3)\n\n5-2x-6\n-2x-1\n\n(C) 1+2(x-1)\n\n1+2x-2\n2x-1\n\n(D) 6-3(w-2)\n\n6-3w+6\n-3w+12
972642
(A^2+2ab+b^2)/(a+b) + (a^2-b^2)/(a-b) + (a-b)/(a+b)/(a^2-b^2)/a+b)\n(a+b)^2/(a+b)+(a+b)(a-b)/(a-b)+ (a-b)/(a+b)*(a+b)/(a^2-b^2)\na+b+a+b+(a-b)/((a+b)(a-b))\n2a+2b+1/(a-b)\n\nif I got all the ( ) in the right places.
518081
Yes, becuase you can subtract b from both sides.\n\na+b=c\n\na+b-b=c-b\nThen, you get c-b = A
394265
Factor it out-- A(B+C)=AB+AC.  So, let X=A, B=1, C=Y.  You get X+(X*Y)=X(1+y)=Z
945958
(2n-1) * (2n-2) * (2n-3) * (2n-4)... * 3 * 2 * 1\n\nJust like any other factorial.
794593
As line AC= line BC\nthen\n6=2x+2\nso x=2\nand then\nAB=x+1\nso AB=3
1178662
a (x+y) + b (x*y) = z
205396
A2 + B2 = C2\n(6*2) + (8*2) = C2\n12 + 16 = C2\n28=C2\n28/2=C\n14=C
92952
(8x+3)(4x+3)\n32x2+24x+24x+9\n32x2+48x+9
1124767
9a*a+6a-4b*b+1\n= (9a^2+6a+1)-4b^2\n=(3a+1)^2-(2b)^2\n=(3a+2b+1)(3a-2b+1)
78524
(1-a)+3(a-2)-(2a-3)=1
503153
(x+7)(x+3)\n(x-11)(x+2)\nforget this one.  its AC factoring though\nthis ones AC too
187387
(n)(3n-1)(3n-2).......(n+1)
208926
the distributive property says:\n\n a(b+c)=  ab + ac