Question

Me ajudem por favor ninguém tá sabendo essa
2. Calculando 18! +15!
17! +16!
teremos como resultado: a) 17 b) 18 c) 19 d) N.R.A..​

Answer 1

$\large\boxed{\begin{array}{l}\rm Calculando~\dfrac{18!+15!}{17!+16!}~teremos~como~resultado:\\\\\rm a)~17\\\rm b)~18\\\rm c)~19\\\rm d)~N\cdot R\cdot A\end{array}}$

$\large\boxed{\begin{array}{l}\underline{\rm soluc_{\!\!,}\tilde ao\!:}\\\\\sf\dfrac{18!+15!}{17!+16!}=\dfrac{18\cdot17\cdot16\cdot15!+15!}{17\cdot16!+16!}\\\\\sf\dfrac{18!+15!}{17!+16!}=\dfrac{15!(18\cdot17\cdot16+1)}{16!(17+1)}\\\\\sf\dfrac{18!+15!}{17!+16!}=\dfrac{\diagdown\!\!\!\!\!\!\!15!\cdot(4896+1)}{16\cdot\diagdown\!\!\!\!\!\!15!\cdot 18}=\dfrac{4897}{288}\\\\\sf\dfrac{18!+15!}{17!+16!}\approxeq17\\\huge\boxed{\boxed{\boxed{\boxed{\sf\maltese~alternativa~a}}}}\end{array}}$