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рдкреНрд░рд╢реНрди
Simplify:
`[ 5^( n + 3 ) - 6 xx 5^( n + 1 )]/[ 9 xx 5^n - 5^n xx 2^2 ]`
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рдЙрддреНрддрд░
`[ 5^( n + 3 ) - 6 xx 5^( n + 1 )]/[ 9 xx 5^n - 5^n xx 2^2 ]`
= `[5^( n + 1 ) xx 5^2- 6 xx 5^( n + 1 )]/[ 9 xx 5^n - 5^n xx 2^2]`
= `[5^( n + 1 ) xx ( 5^2 - 6 )]/[ 5^n xx ( 9 - 4 )]`
= `[5^( n + 1 ) xx ( 25 - 6 )]/[ 5^n xx ( 9 - 4 )]`
= `[5^1 xx 19 ]/5`
= 19
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рд╕рдВрдмрдВрдзрд┐рдд рдкреНрд░рд╢реНрди
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`( x^a/x^b)^( a^2 + ab + b^2 ) xx (x^b/x^c)^(b^2 + bc + c^2) xx (x^c/x^a)^( c^2 + ca + a^2 )`
Simplify:
`( x^a/x^-b )^( a^2 - ab + b^2 ) xx ( x^b/x^-c )^( b^2 - bc + c^2 ) xx ( x^c/x^-a )^( c^2 - ca + a^2 )`
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