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Question
Simplify :
`[ 5^( n + 3 ) - 6 xx 5^( n + 1 )]/[ 9 xx 5^n - 5^n xx 2^2 ]`
Solution
`[ 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 )]`
= `[ 5^1 xx 19 ]/5`
= 19
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