PROCEDIMIENTO:
[tex]5x^2+21x+18\\=\left(5x^2+6x\right)+\left(15x+18\right)\\=x\left(5x+6\right)+3\left(5x+6\right)\\\mathrm{Factorizar\:el\:termino\:comun\:}5x+6\\=\left(5x+6\right)\left(x+3\right)[/tex]
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BIEN VEAMOS:
PROCEDIMIENTO:
[tex]5x^2+21x+18\\=\left(5x^2+6x\right)+\left(15x+18\right)\\=x\left(5x+6\right)+3\left(5x+6\right)\\\mathrm{Factorizar\:el\:termino\:comun\:}5x+6\\=\left(5x+6\right)\left(x+3\right)[/tex]