Question

Desenvolva os produtos notaveis

(x+y)^2
(a+5)^2
(1+m)^2
(x+2)^2
(3x+1)^2
(2y+3)^2
(a+3b)^2
(4x+3y)^2
(a^2+7)^2
(4xx^2)^2

ME AJUDA POR FAVOR​

Answer 1

Resposta:

$(x+y)^{2} =x^{2} +2.x.y+y^{2}= x^{2} +2xy+y^{2} \\ \\ (a+5)^{2} =a^{2}+2.a.5+5^{2}= a^{2} +10a+25\\ \\ (1+m)^{2} =1^{2} +2.1.m+m^{2} =m^{2} +2m+1\\ \\ (x+2)^{2} =x^{2} +2.x.2+2^{2} =x^{2} +4x+4\\ \\ (3x+1)^{2} =(3x)^{2} +2.3x.1+1^{2} =9x^{2} +6x+1\\ \\ (2y+3)^{2} =(2y)^{2} +2.2y.3+3^{2} =4y^{2} +12y+9\\ \\ (a+3b)^{2} =a^{2} +2.a.3b+(3b)^{2} =a^{2} +6ab+9b^{2} \\ \\ (4x+3y)^{2} =(4x)^{2} +2.4x.3y+(3y)^{2} =16x^{2} +24xy+9y^{2}$

$(a^{2}+7 )^{2} =(a^{2} )^{2} +2.a^{2} .7+7^{2} =a^{4} +14a^{2} +49\\ \\ (4x+x^{2} )^{2} =(4x)^{2} +2.4x.x^{2} +(x^{2} )^{2} =16x^{2} +8x^{3} +x^{4}$