Resposta :
PRODUTOS NOTÁVEIS
Cubo da Soma de dois termos
[tex](5x+6y) ^{3}=(5x+6y)(5x+6y)(5x+6y) [/tex]
[tex](25 x^{2} +30xy+30xy+36y ^{2})(5x+6y) [/tex]
[tex](25 x^{2} +60xy+36 y^{2})(5x+6y) [/tex]
[tex]125 x^{3}+300 x^{2} y+180 y^{3}+150 x^{2} y+360x y^{2} +216 y^{3} [/tex]
Reduzindo os termos semelhantes:
[tex]125 x^{3}+450 x^{2} y+360x y^{2}+396 y^{3} [/tex]
Cubo da Soma de dois termos
[tex](5x+6y) ^{3}=(5x+6y)(5x+6y)(5x+6y) [/tex]
[tex](25 x^{2} +30xy+30xy+36y ^{2})(5x+6y) [/tex]
[tex](25 x^{2} +60xy+36 y^{2})(5x+6y) [/tex]
[tex]125 x^{3}+300 x^{2} y+180 y^{3}+150 x^{2} y+360x y^{2} +216 y^{3} [/tex]
Reduzindo os termos semelhantes:
[tex]125 x^{3}+450 x^{2} y+360x y^{2}+396 y^{3} [/tex]