Question

chicos necesito ayudaaaaaaaaaa

Answer 1

Respuesta:

4

Explicación paso a paso:

$P(\sqrt{2}-1 )= 3(\sqrt{2}-1 )^4-(4-3\sqrt{2} )(\sqrt{2}-1 )^3- \sqrt{2}(\sqrt{2}-1 )^2+\sqrt{2}(\sqrt{2}-1 )+5- \sqrt{2}\\\\=3(9-12\sqrt{2}+8)+(4-3\sqrt{2} )( 2\sqrt{2}-6+3\sqrt{2}-1)-\sqrt{2}(2-2\sqrt{2}+1)+2-\sqrt{2}+5-\sqrt{2}\\\\=3(17-12\sqrt{2})+(4-3\sqrt{2} )( 5\sqrt{2}-7)-\sqrt{2}(3-2\sqrt{2})+7-2\sqrt{2}\\\\=3(17-12\sqrt{2})+(20\sqrt{2}-28-30-21\sqrt{2})-\sqrt{2}(3-2\sqrt{2})+7-2\sqrt{2}\\\\=51-36\sqrt{2}+41\sqrt{2}-58-3\sqrt{2}+4+7+2\sqrt{2}$

$=51-58+4+7-36\sqrt{2}+41\sqrt{2}-3\sqrt{2}+2\sqrt{2}\\\\=51-58+11-38\sqrt{2}+38\sqrt{2}\\\\=-7+11\\\\=4$

*Es un poco larga, ojala entiendas. GL