Question

Simplify: 5×3^n+1 - 4×3^n/5×3^n+2-4×3^n+1 Please answer the question. Regards Maanini Sharma​

Answer 1

Step-by-step explanation:

The number nn is requiered to be even.

1⋅3⋅5⋅…⋅(n−5)(n−3)(n−1)=1⋅2⋅3⋅4⋅5⋅6⋅…⋅(n−5)(n−4)(n−3)(n−2)(n−1)n2⋅4⋅6⋅…⋅(n−4)(n−2)n

1⋅3⋅5⋅…⋅(n−5)(n−3)(n−1)=1⋅2⋅3⋅4⋅5⋅6⋅…⋅(n−5)(n−4)(n−3)(n−2)(n−1)n2⋅4⋅6⋅…⋅(n−4)(n−2)n

Then factor a 22 out of each one of the n2n2 even numbers in the denominator:

=n!2n/2(1⋅2⋅3⋅…⋅(n2−2)(n2−1)n2)=n!2n/2(n2)!