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\left(3x^{2}+4x^{3}\right)x^{2}
Divide each term of 12x^{3}+9x^{2} by 3 to get 3x^{2}+4x^{3}.
3x^{4}+4x^{5}
Use the distributive property to multiply 3x^{2}+4x^{3} by x^{2}.
\left(3x^{2}+4x^{3}\right)x^{2}
Divide each term of 12x^{3}+9x^{2} by 3 to get 3x^{2}+4x^{3}.
3x^{4}+4x^{5}
Use the distributive property to multiply 3x^{2}+4x^{3} by x^{2}.