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Resposta:
[tex](5a) {}^{3} + 3 \times (5a) {}^{2} \times b + 3 \times 5ab {}^{2} + b {}^{3} [/tex]
[tex]125a {}^{3} + 3 \times (5a) {}^{2} \times b + 3 \times 5ab {}^{2} + b {}^{3} [/tex]
[tex]125a {}^{3 } + 3 \times 25a {}^{2} b + 3 \times 5ab {}^{2} + b {}^{3} [/tex]
[tex]125a {}^{3} + 3 \times 25a {}^{2} b + 15ab {}^{2} + b {}^{3} [/tex]
[tex] = 125a {}^{3} + 75a {}^{2} b + 15ab {}^{2} + b {}^{3} [/tex]
[tex]Espero \: ter \: ajudado[/tex]
[tex]Bons \: estudos[/tex]
Resposta:
[tex]125a {}^{3} + 75a {}^{2}b + 15ab {}^{2} + b {}^{3} [/tex]
Explicação passo-a-passo:
[tex](5a + b) {}^{3} \\ (5a + b) {}^{3} \\ (5a) {}^{3} + 3 \times (5a) {}^{2} \times b + 3 \times 5ab {}^{2} + b {}^{3} \\ (5a) {}^{3} \\ 5 {}^{3}a {}^{3} \\ 125a {}^{3} \\ (5a) {}^{3} + 3 \times (5a) {}^{2} \times b + 3 \times 5ab {}^{2} + b {}^{3} \\ 125a {}^{3} + 3 \times (5a) {}^{2} \times b + 3 \times 5ab {}^{2} + b {}^{3} \\ (5a) {}^{3} + 3 \times (5a) {}^{2} \times b + 3 \times 5ab {}^{2} + b {}^{3} \\ (5a){}^{2} \\ 5 {}^{2}a {}^{2} \\ 25a {}^{2} \\ (5a) {}^{3} + 3 \times (5a) {}^{2} \times b + 3 \times 5ab {}^{2} + b {}^{3} \\ 125a {}^{3} + 3 \times 25a {}^{2}b + 3 \times 5ab {}^{2} + b {}^{3} \\ (5a) {}^{3} + 3 \times (5a {}^{2}) \times b + 3 \times 5ab {}^{2} + b {}^{3}\\3 \times 5ab {}^{2} \\ 15ab {}^{2} \\ (5a) {}^{3} + 3 \times (5a {}^{2}) \times b + 3 \times 5b {}^{2} + b {}^{3} \\ 125a {}^{3} + 3 \times 25a {}^{2}b + 15ab {}^{2} + b {}^{3} \\ 3 \times 25a {}^{2}b \\ 75a {}^{2}b \\ 125a {}^{3} + 3 \times 25a {}^{2}b + 15ab {}^{2} + b {}^{3} \\ 125a {}^{3} + 75a {}^{2}b + 15ab {}^{2} + b {}^{3} \\ resposta \\ 125a {}^{3} + 75a {}^{2}b + 15ab {}^{2} + b {}^{3} [/tex]