Question

Quais são os resultados desses produtos notaveis?
(2a+m)²
(3a+4m)²
(2a+3)²
(a²+b)²
(x³+y)²

Answer 1

"Produto Notável: O quadrado do 1° mais 2 vezes o 1° multiplicado pelo 2° mais o quadrado do 2°."


$(2a+m)^2\to\\\\ (2a+m)(2a+m)\to\\\\ 4a^2+2am+2am+m^2\to \\\\ \boxed{\boxed{4a^2+4am+m^2}}$




$(3a+4m)^2\to \\\\ (3a+4m)(3a+4m)\to \\\\ 9a^2+12am+12am+16m^2\to \\\\ \boxed{\boxed{9a^2+24am+16m^2}}$




$(2a+3)^2\to \\\\ (2a+3)(2a+3)\to \\\\ 4a^2+6a+6a+9\to \\\\ \boxed{\boxed{4a^2+12a+9}}$




$(a^2+b)^2\to \\\\ (a^2+b)(a^2+b)\to \\\\ a^4+a^2b+a^2b+b^2\to \\\\ \boxed{\boxed{a^4+2a^2b+b^2}}$




$(x^3+y)^2\to \\\\ (x^3+y)(x^3+y)\to \\\\ x^6+x^3y+x^3y+y^2\to \\\\ \boxed{\boxed{x^6+2x^3y+y^2}}$