Respuesta: [tex]225m^6n^8-60m^4n^6+4m^2n^4[/tex]
Explicación paso a paso:
[tex]\left(15m^3n^4-2mn^2\right)^2[/tex][tex]=\left(15m^3n^4\right)^2-2\cdot \:15m^3n^4\cdot \:2mn^2+\left(2mn^2\right)^2[/tex] [tex]=225m^6n^8-60m^4n^6+4m^2n^4[/tex]
aqui:
[tex]\left(12x^2y+8y^2\right)^2=[/tex][tex]=\left(12x^2y\right)^2+2\cdot \:12x^2y\cdot \:8y^2+\left(8y^2\right)^2[/tex][tex]=144x^4y^2+192x^2y^3+64y^4[/tex]
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Verified answer
Respuesta: [tex]225m^6n^8-60m^4n^6+4m^2n^4[/tex]
Explicación paso a paso:
[tex]\left(15m^3n^4-2mn^2\right)^2[/tex][tex]=\left(15m^3n^4\right)^2-2\cdot \:15m^3n^4\cdot \:2mn^2+\left(2mn^2\right)^2[/tex] [tex]=225m^6n^8-60m^4n^6+4m^2n^4[/tex]
aqui:
[tex]\left(12x^2y+8y^2\right)^2=[/tex][tex]=\left(12x^2y\right)^2+2\cdot \:12x^2y\cdot \:8y^2+\left(8y^2\right)^2[/tex][tex]=144x^4y^2+192x^2y^3+64y^4[/tex]