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Extremegoku1
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DAU COROANA+30 PUNCTE!
Simplificati fractia: [tex] 2^{n} [/tex]· [tex] 3^{n+1} [/tex]+[tex] 2^{n+2} [/tex]·[tex] 3^{n} [/tex]
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[tex] 3^{n} [/tex]·[tex] 5^{n+1} [/tex]+[tex] 3^{n+2} [/tex]·[tex] 5^{n} [/tex]

Răspuns :

Renatemambouko
(2ⁿ·3ⁿ⁺¹+2ⁿ⁺²·3ⁿ)/(3ⁿ·5ⁿ⁺¹+3ⁿ⁺²·5ⁿ)=
=2ⁿ·3ⁿ(3¹+2²)/3ⁿ·5ⁿ(5¹+3²)=
=2ⁿ·7/5ⁿ·14=
=2ⁿ/5ⁿ·2=
=2ⁿ⁻¹/5ⁿ



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