Use the distributive property to remove the parentheses in each expression. Then simplify by combining like?
930645
7(4w - 3) - 25w = 0\n\n28w - 21 - 25 = 0\n\n3w - 21 = 0\n\n3w - 21 + 21 = 0 + 21\n\n3w = 21\n\n3w/3 = 21/3\n\nw = 7\n\nThe answer is w = 7\n\nInsert the w value into the equation\n\n- - - - - - - - - - - - - - - - - - - - - - - -\n\nCheck\n\n7(4w- 3) - 25w = 0\n\n7[4(7) - 3] - 25(7) = 0\n\n7[28- 3] - 175 = 0\n\n7[25] - 175 = 0\n\n175 - 175 = 0\n\n0 = 0\n\n- - - - - - - - -s-
790642
Your would make your teacher much happier, were you able to handle simple rearrangement of terms in an equation.  You can easily do it by pattern recognition; that 's all that mathematics is.\n\n(a) Start from  V=(P+w^2) / L\n\nThen LV = P + w^2\n\nSo w^2 = LV - P, i.e. w = (LV - P)^(1/2)  \n\n(b) Gee! There IS no G in your formula!  So it's either irrelevant or you made a transcription error.  \n\nIn any case, substituting the given values, the G-less w = (2x8 - 10)^(1/2) = 6^(1/2), or sqrt(6).  \n\nIf you WERE given a G in the original formula, trace its effect for yourself and evaluate the consequence appropriately.\n\nLive long and prosper.
1154468
make a common denominator\n\na/b - c/d = a*d/b*d - c*b/d*b = (a*d-c*b)/b*d
637551
Simplifying is similar to reducing a fraction - find common factors and cancel them out.\n\nFor example, if you have (x^3 + 9x^2 + 14x) / (x^2 - 4). The numerator can be factored:\n\nx^3 + 9x^2 + 14x = x(x^2 + 9x + 14)\n=x(x + 2)(x + 7)\n\nLikewise, your denominator can be factored:\nx^2 - 4 = (x - 2)(x + 2)\n\nSo now your expression becomes [x(x + 2)(x + 7)] / [(x - 2)(x + 2)]. You have a (x + 2) in common, so you can cancel them out, leaving you with [x(x + 7)] / (x - 2).\n\nYour factoring skills will need to be pretty sharp to simplify expressions such as these!
757415
1) yes\n2) get rid of x factor, so -(x^3-1)/(x^2+1)\n3) You lost a negative, (2x+3)/(3-2x)\n4) Remove y factor: 7x/2y\n\nSteve
668416
Distributive property is just take two numbers in parentheses and individually multiply them by the number outside the parentheses. For example:\n2(3+4)\n[3(2) + 4(2)]\n(6 + 8)\n6 + 8 = 14\nAssociative Property is adding or multiplying three or more numbers in a completely different order. For example 1+2+3=6 or you can do 2+3+1=6
958347
The top 2 terms have a in common; factor it out by Distributive Property: a(a+4)\n\nThe bottom 2 terms have b in common, do the same: b(a+4)\n\nNow as long as a doesn't equal -4, the (a+4) on top cancels the (a+4) on bottom, leaving a/b
1090404
look at what is added (in parentheses)\n\n2 (+1) 3 (+2) 5 (+0) 5 (+3) 8 (-1) 7 (+4) 11\n\nStarting with the first and taking every other number you have +1 +0 -1.  The other values are +2 +3 +4.  So you have two patterns interwoven.  Following those patterns will yield:\n\n2, 3, 5, 5, 8, 7, 11, 9, 14, 11, 17, 13, 20
909020
Recall the distributive property: a(b+c) = ab +ac\nUse this on the second part of your equation where a = -2, b = p and c = 1.\n-2(p+1) = -2p + (-2)(1) = -2p -2\n\nSo 3p - 2(p+1) = 3p - 2p - 2 = p - 2
930651
Distributive property:\n8p+8+3p=-14\n\nCombine like terms:\n11p+8=-14\n\nSubtract 8 on both sides:\n11p=-22\np=-2\n\nCheck:\n8(-2+1)+3(-2)=-14\n8(-1)+3(-2)=-14\n-8-6=-14\n-14=-14
782541
Just distribute the number in front of the (), then combine like terms.
520679
When dividing rational expressions you flip the second one and multiply\n (2x^2 + 5x)/(9x^2 – 16) ÷ (2x^2-7x + 6)/(3x^2 -x -4)\n= (2x^2 + 5x)/(9x^2 – 16)*(3x^2 -x -4)/(2x^2-7x + 6)\nFactor each one, then you can cancel anything on the top with anything that is on the bottom.
700951
4x + 6 is not quite right\nwatch the order of operations and distributive properties\n\nrepost your answer and I'll tell you if you got it\n\n(you didn't think I'd just give up the answer, did you ?)
531852
you have to use instinct, there is no clear rules that states what the expressions must look like (except if the problem insist you on giving the answer in a specific form). \n\nPerhaps one of the guidelines is make variables that have same indices grouped into one. So x + 3x becomes 4x, group them out don't leave them straying.
719153
Distributive is:\n\na(b+c) = ab + bc\n\nits really simple to apply that to higer stuff, at least I would think! I guess you multiply so:\n\n(a + b) (c + d + e) = ac+ad+ae+bc+bd+be
769661
the expression is being cut off.\nPlease break the expression over multiple lines, \nand I'll try to help
917224
Simply use correct order of operations\n\nparentheses\nexponents\nmult/division (from left to right)\naddition/subtraction (from left to right)