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Question

On simplification, the expression 5n+26×5n+113×5n2×5n+1 equals

(a)53 (b)53 (c)35 (d)35

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Solution

g i v e n fraction numerator 5 to the power of n plus 2 end exponent minus 6 cross times 5 to the power of n plus 1 end exponent over denominator 13 cross times 5 to the power of n minus 2 cross times 5 to the power of n plus 1 end exponent end fraction rightwards double arrow fraction numerator 5 to the power of n cross times 5 squared minus 6 cross times 5 to the power of n cross times 5 over denominator 13 cross times 5 to the power of n minus 2 cross times 5 to the power of n cross times 5 end fraction rightwards double arrow fraction numerator 5 to the power of n open parentheses 5 squared minus 30 close parentheses over denominator 5 to the power of n open parentheses 13 minus 10 close parentheses end fraction rightwards double arrow fraction numerator negative 5 over denominator 3 end fraction
option b is correct


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