Question

6.
Efectuar:
(5+y)(5+ 3y)–(2+ 3y)(2 + 5y) +12y + 1)(y-1)-9​

Answer 1

Respuesta:

sale 11 - 7y

Explicación paso a paso:

$(5+y)(5+ 3y)-(2+ 3y)(2 + 5y) +12y + 1)(y-1)-9$

✔usaremos este mètodo: $(a+b)(c+d)=ac+ad+bc+bd.$

$25+15y+5y+3y^{2}-(2+3y)(2+5y)+(12y+1)(y-1)-9$

$25+15y+5y+3y^{2}-(4+10y+6y+15y^{2} )+(12y+1)(y-1)-9$

$25+15y+5y+3y^{2}-(4+10y+6y+15y^{2} )+12y^{2}-12y+y-1-9$

✔eliminamos parèntesis:

$25+15y+5y+3y^{2} -4-10y-6y-15y^{2} +12y^{2}-12y+y-1-9$

✔ahora Coleccionamos los términos semejantes:

$(25-4-1-9)+(15y+5y-10y-6y-12y+y)+(3y^{2}-15y^{2} +12y^{2} )$

✔por ùltimo simplificamos:

$=11-7y$