SOLUTION: could someone please help me solve these problems so i can help my daughter understandit better.Thanks for your time. 1. m^3 x n^3 (x is times symbol) 2. 2(square root symbo

Algebra ->  Functions -> SOLUTION: could someone please help me solve these problems so i can help my daughter understandit better.Thanks for your time. 1. m^3 x n^3 (x is times symbol) 2. 2(square root symbo      Log On


   



Question 207174: could someone please help me solve these problems so i can help my daughter understandit better.Thanks for your time.

1. m^3 x n^3 (x is times symbol)
2. 2(square root symbol) + 3(square root symbol) x
3.x^2-x^3
4.(x+y)^5
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(x+y)^4

thanks for the help and if you can please write out the problem so that the next time i"ll know how to write it so it's easily understood.hagd Sarah

Found 2 solutions by RAY100, Theo:
Answer by RAY100(1637) About Me  (Show Source):
You can put this solution on YOUR website!
(1),,, m^3 * n^3= (mn)^3
.
m^3 =m*m*m,,,,,,n^3=n*n*n,,,,,
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m^3*n^3 = m*n*m*n*m*n = (mn)^3
.
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(2),,,2*sqrt(x)+3*sqrt(x) =5*sqrt(x)
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(3),,,x^2-x^3,,,that's as simple as it can be
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(4),,,,(x+y)^5 / (x+y)^4 = (x+y)^{5-4} = (x+y)^1= x+y
.
ex,, x^5 / x^4 =(x*x*x*x*x)/(x*x*x*x*)= x
.
that is, to divide like terms with exponents, subtract exponents.
.
.
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Likewise, to multiple like terms with exponents, add exponents.








Answer by Theo(13342) About Me  (Show Source):
You can put this solution on YOUR website!
1. m^3 x n^3 (x is times symbol)
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m%5E3+%2A+n%5E3+=+%28m%2An%29%5E3
example:
5%5E3+%2A+7%5E3+=+%285%2A7%29%5E3
5%5E3+=+125
7%5E3+=+343
125%2A343+=+42875
%285%2A7%29%5E3+=+%2835%29%5E3+=+42875
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2. 2(square root symbol) + 3(square root symbol) x
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i think what you are saying here is 2+%2A+sqrt%28x%29+%2B+3+%2A+sqrt%28x%29
if so, this would be equal to %282+%2B+3%29+%2A+sqrt%28x%29 which would be equal to 5+%2A+sqrt%28x%29
example:
2+%2A+sqrt%28225%29+%2B+3%2Asqrt%28225%29 = 2%2A15+%2B+3%2A15 = 30+%2B+45 = 75
%282%2B3%29%2Asqrt%28225%29 = 5%2Asqrt%28225%29 = 5%2A15 = 75
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3. x^2-x^3
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x%5E2+-+x%5E3 = x%5E2+%2A+%281+-+x%29
example:
%285%5E2+-+5%5E3%29 = %285%5E2+%2A+%281+-+5%29%29 = %2825+%2A+%28-4%29%29+ = %28-100%29
5%5E2+=+25
5%5E3+=+125
%2825+-+125%29+=+%28-100%29
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4.(x+y)^5
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(x+y)^4
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i believe this is %28%28x%2By%29%5E5%29%2F%28%28x%2By%29%5E4%29 which is equal to %28x%2By%29%5E%285-4%29 which is equal to %28x%2By%29%5E1 which is equal to %28x%2By%29
example:
%28%285+%2B+6%29%5E5%29+%2F+%28%285+%2B+6%29%5E4%29 = %2811%5E5%29%2F%2811%5E4%29 = 161051%2F14641 = 11
%2811%5E5%29%2F%2811%5E4%29 = 11%5E%285-4%29 = 11%5E1 = 11
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