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\left(-5x^{3}+2x^{5}+3x\right)x
Divide each term of 6x^{5}-15x^{3}+9x by 3 to get -5x^{3}+2x^{5}+3x.
-5x^{4}+2x^{6}+3x^{2}
Use the distributive property to multiply -5x^{3}+2x^{5}+3x by x.
\left(-5x^{3}+2x^{5}+3x\right)x
Divide each term of 6x^{5}-15x^{3}+9x by 3 to get -5x^{3}+2x^{5}+3x.
-5x^{4}+2x^{6}+3x^{2}
Use the distributive property to multiply -5x^{3}+2x^{5}+3x by x.