a^2c^2+b^2c^2-4a^2d^2-4b^2d^2?
460347
When you have groups of terms like your problem you factor out the things that each group of terms share. \n\nFor your first part: (a^2c^2 + b^2c^2 ) the terms share a c^2 so you factor that out. \n\nyou have c^2 (a^2 + b^2)\n\nThe second terms (-4a^2d^2-4b^2d^2) share 4d^2 so you factor that out. \n\nSo you're left with c^2(a^2+b^2) - 4d^2 (a^2 + b^2). \n\nWhen you've done this part you can actually go farther because if you look at it both sections share (a^2 + b^2). \n\nso you can simplify the whole problem with \n\nc^2 - 4d^2 (a^2 + b^2).
910180
3ab(2ab^2)^4\n3ab(16a^4b^8)\n48a^5b^9\ntrust me!!!! i just got done doing this in class a week ago.
120356
c^2 = underroot (a^2 + b^2)
658148
given 4a^2-12ab+9b^2\n    =(2a)^2-2(2a)(3b)+(3a)^2\n    =(2a-3b)^2
695176
6x^2-3x-4x+2\n3x(2x-1)-2(2x-1)\n(2x-1)(3x-2)
1056888
2(x^2-4x)-1=\n2(x^2-4x+4) -8-1=\n2(x-2)^2-9
438371
same thing as (8x^2+2x-2)^(3/2), right?\nso add one to the power\nmultiply by the inverse of that power\nand divide by the derivative of what's in the parenthesis on the left\ngot it?
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)
1148686
(2y-8)(y-4)\n\n2y^2-8y-8y+32\n\n2y^2-8y^2+32
139883
(a+b)(a-b) \n= a^2 - ab + ba - b^2\n= a^2 - b^2 -ab +ab\n= a^2 - b^2
1160760
what you have is something like\na(b+c)\n\nthe solution is \nab+ac\n\n(x^3)(2x^-2)+(x^3)(4x)\nnow to multiply x^a * x^b you get x^(a+b)\n\n2x^((3+(-2))+4x^(3+1)\n\n2x+4x^4
985787
this is\n\nx^4+ 4\n= (x^2)^2 + 2^2\nadd and subtract 4x^2\n= (x^2)+2(x^2)*2 + 2^2 - 4x^2\n= (x^2+2)^2 - (2x)^2\n= (x^2+2x+2)(x^2-2x+2)
470404
((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)
924424
The equations:\n(a+b)^2=a^2+2ab+b^2\nA^2-B^2=(A+B)(A-B)\nJames Chan's solutions were right.
1144353
4a+4b+4c=2ab+2bc+2ac \n4(a+b+c)=2(ab+bc+ac)\na=2\nb=2\nc=2\n\nor \na=1\nb=2\nc=4
830444
d.) 2m^2(6m^6+3m^4+7)
201432
x=2 and y =2,\n\n2^2=2^2 and 2*2 = 2 + 2 =4