(a^2 - b^2)/8a X 4a^3 / (a+b)^2 =\n\n(a+b)(a-b)/8a X 4a^3 / (a+b)(a+b) =\n\n4a^3(a-b) / 8a(a+b) =\n\n4a^4 - 4a^3b / 8a^2 + 8ab =\n\n2a-a^2 / 4 =\n\na-a^2 / 2\n\nOk....I know it's not right, because somebody BRILLIANT got \n(a-b) X a^2 / 2(a+b).....I can't figure out how he got there.  \n\nHELP!!!!!!!!!!!
213198
((a^2 - b^2)/8a) X ((4a^3)/(a + b)^2))\n(4a^3(a^2 - b^2))/(8a(a + b)^2)\n((4a^3)/(8a)) * ((a^2 - b^2)/(a + b)^2)\n((a^(3 - 1))/2) * (((a - b)(a + b))/((a + b)(a + b)))\n((a^2)/2) * ((a - b)/(a + b))\n\nANS : ((a^2)(a - b))/(2(a + b))\n\nOn your problem, here is where you went wrong\n\nTo make it easier, you should had kept your problem in\n\n(4a^3(a - b))/(8a(a + b)) form, then had done this\n\n((4a^3)/(8a)) * ((a - b)/(a + b))\n\n(4/8)(a^(3 - 1))((a - b)/(a + b))\n(1/2)(a^2)((a - b)/(a + b))\n((a^2)(a - b))/(a + b)
406636
a(sqrt)8-3(sqrt)2a^2 =2a(sqrt)2-3a(sqrt)2                                      =(sqrt)2(2a-3a)=- a(sqrt)2
476237
apples with apples, pears with pears right?\nso add up all the a's and the numbers without variables\n\n3a-4a = -1a or -a\n(-8)+2 = -6  \nsince you've got no other variables (a,b,c) going on you've done as much as you can so you're final answer will be \n= -1a - 6\n\nas for the second one:\nplease excuze my dear aunt sally\nParenthesis\nExponentials\nmultiplication\ndivision\naddition\nsubrtraction\n\nthat's the order you should follow to simplify operations from top to bottom.  so do parenthesis first.   Since you can't simplify (add or subtract) any of the numbers in parenthesis any further move to the multiplying.  Using the foil method multiply 6 to whatever the numbers in parenthesis are 6 x4c = 24c   6x (-7)= -42 \nAnd the second one 2x (-3c)=  -6c    2x (+8)= 16    (x being multiplication.   \n\nok you now have multiplied out the terms so you have \n24c -42 -6c+16       so like the first example. like terms combine.\n\n24c-6c= 18c\n-42+16= -26  \n\nso your final answer would be 18c-26\n\ntry to understand all these procedures throughly because simplification is the heart of math.
291500
In 6ab + 4a + 3b + 2, we group the first 2 terms and the last 2 terms:\n\n6ab + 4a + 3b + 2 =\n(6ab + 4a) + (3b + 2)\nthen factor out the common factor 2a in (6ab + 4a)\n(Note: to factor out is the same as dividing each term with the common factor)\n\nwe get:\n2a(3b + 2) + (3b + 2)\nNotice that in each term of the above we have a common factor of (3b + 2)\nBy dividing each term by (3b + 2) or factoring out (3b + 2) we have:\n(3b + 2)(2a + 1)
412552
(a^1/2b^1/3)^6 = 432\na^3 b^2 = 4 * 4 * 3 * 3 * 3 = 4^2 * 3^3\nSince, a and 3 have the same power, they are equal. And because b and 4 have the same power, they are equal. \na = 3, b = 4\nab = 12
349671
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
479739
1. b^2 -ab -6a^2\n(b-3a)(b+2a)\n\n2. 3(x-2)^2-3(x-2)-6\n3(x^2-4x+4)-3x+6-6\nx^2-4x+4-x\nx^2-5x+4\n(x-4)(x-1)\n\n3. 6x^2 +7x +2\n(2x+1)(3x+2)\n\n4. y^3 -12y^2 +36y\ny(y^2-12y+36)\ny(y-6)^2\n\n5. 9x(x-7y) -6(x-7y)\n9x^2-63xy-6x+42y\n3(3x^2-21xy-2x+14y)\n\n6. 6z^3 -27z^2 +12z\n3z(2z^2-9z+4)\n3z(2z-1)(z-4)\n\n7. 6x^2 - xy -5y^2\n(6x+5y)(x-y)\n\nThe things we go through for our kids!
170048
Factor a^2 + 8a + 16\na^2 + 8a + 16 = \n(a+4)(a+4) =\n(a+4)^2\nNow \n(a^2)+8a+16-(b^2)\n= (a+4)^2 - b^2\nThis is a difference of squares.\n(a+4+b)(a+4-b)
55355
(a+b)(a-b) \n= a^2 - ab + ba - b^2\n= a^2 - b^2 -ab +ab\n= a^2 - b^2
33882
How about this? Straight multiplying gives you the following:\n\n18b^3/b^2\n\nb^3 = bxbxb\nb^2 = bxb\n\nYou have 3 bs on top and 2 on bottom. Whenever you have the same number on top and bottom, it cancels out. Since there are 2 bs on bottom, 2 of the ones on the top cancel out as well. This leaves you with 18b.\n\nDid that help at all?
3076
I'm pretty sure that's wrong.\n8/2 = 4/1 = 4\nThis proves that 8/2 is actually 4.\n\nFractions are the same as division,and 8 divided by 2 is 4, so 8/2 is 4.
427595
a^2 - 2ab + b^2 = (a - b) ^2\n\nthen...\n\n(a - b)^2 / (a + b) = (a -b) (a - b) / (a + b)
394372
3ax+4by-2ay-6bx\n=3ax-6bx-2ay+4by\n=3x(a-2b)-2y(a-2b)\n=(3x-2y)(a-2b)\n2ax-2by+ay-4bx\n=2ax-4bx+ay-2by\n=2x(a-2b)+y(a-2b)\n=(2x+y)(a-2b)\nso 3ax+4by-2ay-6bx over2ax-2by+ay-4bx\n=3ax+4by-2ay-6bx /2ax-2by+ay-4bx\n=(3x-2y)(a-2b)/(2x+y)(a-2b)\n= (3x-2y)/(2x+y)
438016
(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.
518425
a^2+b)(b^2+a)\n\nL.H.S=a^2b^2+a^3+b^3+ab\n=4-1-8+2=-3\n\nR.H.S=(a^2+b)(b^2+a)\n=(1-2)(4-1)\n=-3
190111
Solve for b and c for a.\nb = 4a/3\nc = 5a/3\nso\na * 4a/3 * 5a/3 = 1620\n\ntimes both by 3\n\n3a * 4a * 5a = 1620 * 3 = 4860\n\n60a^3 = 4860\n\na^3 = 4860/60 = 729\n\na = 9\n\nb = 4* 9/3 = 4 * 3 = 12\nc = 5 * 9/3 = 5 * 3 = 15\n\nB = 12\n\ngood luck!
429487
a^4 - b^4\n\n= (a^2 + b^2)(a^2 - b^2)\n\n= (a^2 + b^2)(a + b)(a - b)