Question

27m3 +108m2n+144mn2+64n3 factorizar xfavor ​

Answer 1

Verified answer

Respuesta:

[tex](3m+4n)^{3}[/tex]

Explicación paso a paso:

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[tex]27m^{3}+108m^{2} n+144mn^{2}+64n^{3}[/tex]

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[tex]3^{3}* m^{3} +3*9m^{2} *4n+3*3m*16n^{2} +4^{3} n^{3}[/tex]

[tex](3m^{3} )+3*3^{2} m^{2} *4n+3*3m*4^{2} n^{2} +(4n)^{3}[/tex]

[tex](3m^{3} )+3*(3m)^{2} *4n+3*3m*(4n)^{2} +(4n)^{3}[/tex]

Usamos la expresión:

[tex]a^{3} +3a^{2} b+3ab^{2}+b^{3}=(a+b)^{3}[/tex]

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Respuesta:

[tex](3m+4n)^{3}[/tex]

Dejame tu gracias :)