Assuming that we have :
(3/2)y- y = 4+(1/2)y simplify
(1/2)y = 4 + (1/2)y
And. as Guest said, there is no solution for this because 1/2 of something can't be the same as 1/2 of something and 4 added to it....!!!
[4a^6b^10]/[24a^2b^5] =
[4/24] * [a^6 / a^2] * [ b^10 / b^5] =
[a^4 b^5] / 6
55457777
Exactly. Thank you very much. Always on top of your game! ;)
[36a^6b^14] / [6a^2b^7] =
[36/6] * [a^6 / a^2] * [ b^14 / b^7] =
6a^4b^7
$ 75.32
I thought that in order to simplify, you had to divide the coefficients and exponents... I'm confused. Thanks anyway!
15 + (1/2)n = -20 subtract 15 from both sides
(1/2) N = -35 multiply both sides by 2
N = -70
9 is correct
6/2 (1 + 2) =
3 (3) = 9
For 1 to be correct we must have
6/ [2(1 +2)] =
6/ [2(3)]=
6/[6] = 1
This shows that the placement of parentheses and/or brackets IS important !!!
Your problem reduces to:
(a^8 b^15)/6
NO, IT CANNOT BE SIMPLIFIED ANY FURTHER!.
if you want, I will give you a step by step, but it will make you dizzy following it.
Thanks, Guest....we could also see this by cross-product equality [if cross products of two fractions are equal, the fractions themselves are equal ]
5/4 = 35/28 because
28 * 5 = 35 *4
140 = 140
[9 x 14] / 3 = [9/3] * 14 = 3 * 14 = 42 bags
If you understand Complex Numbers, then the answer is:
3i
IF YOU WANT IT STEP BY STEP HERE IT IS. HOPE YOU CAN FOLLOW IT.
Expand the following: (x^2 (a+b^5) (a+b) (a-b^2))/8 Multiply a+b and a-b^2 together using FOIL. (a+b) (a-b^2) = (a) (a) + (a) (-b^2) + (b) (a) + (b) (-b^2) = a^2-a b^2+a b-b^3 = a^2+a b-a b^2-b^3: (x^2 a^2+a b-a b^2-b^3 (a+b^5))/8 Distribute a^2+a b-a b^2-b^3 over a+b^5. (a^2+a b-a b^2-b^3) (a+b^5) = b^5 (a^2+a b-a b^2-b^3)+a (a^2+a b-a b^2-b^3): (x^2 b^5 (a^2+a b-a b^2-b^3)+a (a^2+a b-a b^2-b^3))/8 Distribute b^5 over a^2+a b-a b^2-b^3. b^5 (a^2+a b-a b^2-b^3) = b^5 a^2+b^5 a b+b^5 (-a b^2)+b^5 (-b^3): (x^2 (b^5 a^2+b^5 a b-b^5 a b^2-b^5 b^3+a (a^2+a b-a b^2-b^3)))/8 Combine products of like terms. b^5 a b = b^(5+1) a: (x^2 (b^5 a^2+b^(5+1) a-b^5 a b^2-b^5 b^3+a (a^2+a b-a b^2-b^3)))/8 Evaluate 5+1. 5+1 = 6: (x^2 (b^5 a^2+b^6 a-b^5 a b^2-b^5 b^3+a (a^2+a b-a b^2-b^3)))/8 Combine products of like terms. b^5 (-a) b^2 = b^(5+2) (-a): (x^2 (b^5 a^2+b^6 a+-(b^(5+2) a)-b^5 b^3+a (a^2+a b-a b^2-b^3)))/8 Evaluate 5+2. 5+2 = 7: (x^2 (b^5 a^2+b^6 a-b^7 a-b^5 b^3+a (a^2+a b-a b^2-b^3)))/8 Combine products of like terms. b^5 (-b^3) = b^(5+3) (-1): (x^2 (b^5 a^2+b^6 a-b^7 a+-b^(5+3)+a (a^2+a b-a b^2-b^3)))/8 Evaluate 5+3. 5+3 = 8: (x^2 (b^5 a^2+b^6 a-b^7 a-b^8+a (a^2+a b-a b^2-b^3)))/8 Distribute a over a^2+a b-a b^2-b^3. a (a^2+a b-a b^2-b^3) = a a^2+a a b+a (-a b^2)+a (-b^3): (x^2 (b^5 a^2+b^6 a-b^7 a-b^8+a a^2+a a b-a a b^2-a b^3))/8 Combine products of like terms. a a^2 = a^(1+2): (x^2 (b^5 a^2+b^6 a-b^7 a-b^8+a^(1+2)+a a b-a a b^2-a b^3))/8 Evaluate 1+2. 1+2 = 3: (x^2 (b^5 a^2+b^6 a-b^7 a-b^8+a^3+a a b-a a b^2-a b^3))/8 Combine products of like terms. a a b = a^2 b: (x^2 (b^5 a^2+b^6 a-b^7 a-b^8+a^3+a^2 b-a a b^2-a b^3))/8 Combine products of like terms. a (-a) b^2 = -a^2 b^2: (x^2 (b^5 a^2+b^6 a-b^7 a-b^8+a^3+a^2 b+-a^2 b^2-a b^3))/8 Distribute x^2 over a^3+a^2 b-a^2 b^2-a b^3+a^2 b^5+a b^6-a b^7-b^8. x^2 (a^3+a^2 b-a^2 b^2-a b^3+a^2 b^5+a b^6-a b^7-b^8) = x^2 a^3+x^2 a^2 b+x^2 (-a^2 b^2)+x^2 (-a b^3)+x^2 a^2 b^5+x^2 a b^6+x^2 (-a b^7)+x^2 (-b^8): x^2 a^3+x^2 a^2 b-x^2 a^2 b^2-x^2 a b^3+x^2 a^2 b^5+x^2 a b^6-x^2 a b^7-x^2 b^8/8 Express (a^3 x^2+a^2 b x^2-a^2 b^2 x^2-a b^3 x^2+a^2 b^5 x^2+a b^6 x^2-a b^7 x^2-b^8 x^2)/8 as a sum of fractions. (a^3 x^2+a^2 b x^2-a^2 b^2 x^2-a b^3 x^2+a^2 b^5 x^2+a b^6 x^2-a b^7 x^2-b^8 x^2)/8 = (a^3 x^2)/8+(a^2 b x^2)/8-(a^2 b^2 x^2)/8-(a b^3 x^2)/8+(a^2 b^5 x^2)/8+(a b^6 x^2)/8-(a b^7 x^2)/8-(b^8 x^2)/8: Answer: | | (a^3 x^2)/8+(a^2 b x^2)/8-(a^2 b^2 x^2)/8-(a b^3 x^2)/8+(a^2 b^5 x^2)/8+(a b^6 x^2)/8-(a b^7 x^2)/8-(b^8 x^2)/8
Nope...it's irrational....and irrational numbers never terminate
I assume this might be:
[1/5]([5/2]x-10)=4(x+3) simplify
(1/2)x - 2 = 4x + 12 multiply both sides by 2
x - 4 = 8x = 24 subtract x from both sides....subtract 24 to both sides
-28 = 7x divide both sides by 7
-287 = x = -4
wait, but shouldn't it be simplified:
x/3(a-b)
So it can't be further simplified? no?
With the equation as written? YES.
hm, no i don't thin that's correct. Are you certain?
You are correct.....!!!!
Your result reduces to:
1/8 x^2 (a+b) (a-b^2) (a+b^5)
