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Step-by-step explanation:
[tex] = 3 {a}^{3} {b}^{2} c + 9a {b}^{2} {c}^{3} [/tex]
[tex] = (3a {b}^{2} c)( {a}^{2} ) +( 3a {b}^{2} c)(3 {c}^{2} )[/tex]
[tex] = 3a {b}^{2} c( {a}^{2} +3 {c}^{2} )[/tex]