Respuesta:
1. [tex]\left(b+2a\right)\left(3cba+5d\right)[/tex]
2. [tex]a^3b\left(a+b\right)\left(a-b\right)[/tex]
Explicación paso a paso:
1.Procedimiento:
[tex]6a^2bc+3ab^2c+10ad+5bd\\\\=3cba\left(2a+b\right)+5d\left(2a+b\right)\\\\=\left(b+2a\right)\left(3cba+5d\right)[/tex]
2.Procedimiento:
[tex]a^5b-b^3a^3\\\\a^3b^3=a^3bb^2,\:a^5b=a^3a^2b\\\\=a^3a^2b-a^3bb^2\\\\=a^3b\left(a^2-b^2\right)\\\\=a^3b\left(a+b\right)\left(a-b\right)[/tex]
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Verified answer
Respuesta:
1. [tex]\left(b+2a\right)\left(3cba+5d\right)[/tex]
2. [tex]a^3b\left(a+b\right)\left(a-b\right)[/tex]
Explicación paso a paso:
1.Procedimiento:
[tex]6a^2bc+3ab^2c+10ad+5bd\\\\=3cba\left(2a+b\right)+5d\left(2a+b\right)\\\\=\left(b+2a\right)\left(3cba+5d\right)[/tex]
2.Procedimiento:
[tex]a^5b-b^3a^3\\\\a^3b^3=a^3bb^2,\:a^5b=a^3a^2b\\\\=a^3a^2b-a^3bb^2\\\\=a^3b\left(a^2-b^2\right)\\\\=a^3b\left(a+b\right)\left(a-b\right)[/tex]